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Finding the Fourth Proportional to 3,657.30, 5,487.30 and 1,192.20

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Solution

The fourth proportional to 3,657.30, 5,487.30 and 1,192.20 is: 1,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.30 : 5,487.30 = 1,192.20 : x
  2. Step 2: Convert to fraction form
    3,657.30/5,487.30 = 1,192.20/x
  3. Step 3: Cross multiply
    3,657.30x = 5,487.30 × 1,192.20
  4. Step 4: Simplify right side
    3,657.30x = 6,541,959.06
  5. Step 5: Solve for x
    x = 6,541,959.06/3,657.30
  6. Step 6: Final answer
    x = 1,788.74

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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.