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Finding the Fourth Proportional to 5,547.17, 7,657.58 and 3,659.87

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Solution

The fourth proportional to 5,547.17, 7,657.58 and 3,659.87 is: 5,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.17 : 7,657.58 = 3,659.87 : x
  2. Step 2: Convert to fraction form
    5,547.17/7,657.58 = 3,659.87/x
  3. Step 3: Cross multiply
    5,547.17x = 7,657.58 × 3,659.87
  4. Step 4: Simplify right side
    5,547.17x = 28,025,747.31
  5. Step 5: Solve for x
    x = 28,025,747.31/5,547.17
  6. Step 6: Final answer
    x = 5,052.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.