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Finding the Fourth Proportional to 5,739.71, 8,610.51 and 2,041.16

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Solution

The fourth proportional to 5,739.71, 8,610.51 and 2,041.16 is: 3,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.71 : 8,610.51 = 2,041.16 : x
  2. Step 2: Convert to fraction form
    5,739.71/8,610.51 = 2,041.16/x
  3. Step 3: Cross multiply
    5,739.71x = 8,610.51 × 2,041.16
  4. Step 4: Simplify right side
    5,739.71x = 17,575,385.54
  5. Step 5: Solve for x
    x = 17,575,385.54/5,739.71
  6. Step 6: Final answer
    x = 3,062.07

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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.