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Finding the Fourth Proportional to 5,578.31, 7,695.18 and 3,785.18

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Solution

The fourth proportional to 5,578.31, 7,695.18 and 3,785.18 is: 5,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.31 : 7,695.18 = 3,785.18 : x
  2. Step 2: Convert to fraction form
    5,578.31/7,695.18 = 3,785.18/x
  3. Step 3: Cross multiply
    5,578.31x = 7,695.18 × 3,785.18
  4. Step 4: Simplify right side
    5,578.31x = 29,127,602.96
  5. Step 5: Solve for x
    x = 29,127,602.96/5,578.31
  6. Step 6: Final answer
    x = 5,221.58

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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.