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Finding the Fourth Proportional to 3,300.64, 4,944.06 and 1,547.15

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Solution

The fourth proportional to 3,300.64, 4,944.06 and 1,547.15 is: 2,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.64 : 4,944.06 = 1,547.15 : x
  2. Step 2: Convert to fraction form
    3,300.64/4,944.06 = 1,547.15/x
  3. Step 3: Cross multiply
    3,300.64x = 4,944.06 × 1,547.15
  4. Step 4: Simplify right side
    3,300.64x = 7,649,177.71
  5. Step 5: Solve for x
    x = 7,649,177.71/3,300.64
  6. Step 6: Final answer
    x = 2,317.48

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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.