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Finding the Fourth Proportional to 5,547.60, 7,654.56 and 3,531.82

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Solution

The fourth proportional to 5,547.60, 7,654.56 and 3,531.82 is: 4,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.60 : 7,654.56 = 3,531.82 : x
  2. Step 2: Convert to fraction form
    5,547.60/7,654.56 = 3,531.82/x
  3. Step 3: Cross multiply
    5,547.60x = 7,654.56 × 3,531.82
  4. Step 4: Simplify right side
    5,547.60x = 27,034,528.10
  5. Step 5: Solve for x
    x = 27,034,528.10/5,547.60
  6. Step 6: Final answer
    x = 4,873.19

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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.