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Finding the Fourth Proportional to 3,547.92, 5,322.08 and 1,083.12

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Solution

The fourth proportional to 3,547.92, 5,322.08 and 1,083.12 is: 1,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.92 : 5,322.08 = 1,083.12 : x
  2. Step 2: Convert to fraction form
    3,547.92/5,322.08 = 1,083.12/x
  3. Step 3: Cross multiply
    3,547.92x = 5,322.08 × 1,083.12
  4. Step 4: Simplify right side
    3,547.92x = 5,764,451.29
  5. Step 5: Solve for x
    x = 5,764,451.29/3,547.92
  6. Step 6: Final answer
    x = 1,624.74

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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.