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Finding the Fourth Proportional to 5,714,259.81, 8,570,864.83 and 1,927,775.49

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Solution

The fourth proportional to 5,714,259.81, 8,570,864.83 and 1,927,775.49 is: 2,891,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714,259.81 : 8,570,864.83 = 1,927,775.49 : x
  2. Step 2: Convert to fraction form
    5,714,259.81/8,570,864.83 = 1,927,775.49/x
  3. Step 3: Cross multiply
    5,714,259.81x = 8,570,864.83 × 1,927,775.49
  4. Step 4: Simplify right side
    5,714,259.81x = 16,522,703,147,377.02
  5. Step 5: Solve for x
    x = 16,522,703,147,377.02/5,714,259.81
  6. Step 6: Final answer
    x = 2,891,486.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.