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Finding the Fourth Proportional to 3,547.60, 5,324.12 and 2,505.36

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Solution

The fourth proportional to 3,547.60, 5,324.12 and 2,505.36 is: 3,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.60 : 5,324.12 = 2,505.36 : x
  2. Step 2: Convert to fraction form
    3,547.60/5,324.12 = 2,505.36/x
  3. Step 3: Cross multiply
    3,547.60x = 5,324.12 × 2,505.36
  4. Step 4: Simplify right side
    3,547.60x = 13,338,837.28
  5. Step 5: Solve for x
    x = 13,338,837.28/3,547.60
  6. Step 6: Final answer
    x = 3,759.96

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