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Finding the Fourth Proportional to 5,710.31, 7,880.05 and 3,192.43

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Solution

The fourth proportional to 5,710.31, 7,880.05 and 3,192.43 is: 4,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.31 : 7,880.05 = 3,192.43 : x
  2. Step 2: Convert to fraction form
    5,710.31/7,880.05 = 3,192.43/x
  3. Step 3: Cross multiply
    5,710.31x = 7,880.05 × 3,192.43
  4. Step 4: Simplify right side
    5,710.31x = 25,156,508.02
  5. Step 5: Solve for x
    x = 25,156,508.02/5,710.31
  6. Step 6: Final answer
    x = 4,405.45

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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.