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Finding the Fourth Proportional to 5,743.98, 7,929.90 and 5,350.32

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Solution

The fourth proportional to 5,743.98, 7,929.90 and 5,350.32 is: 7,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.98 : 7,929.90 = 5,350.32 : x
  2. Step 2: Convert to fraction form
    5,743.98/7,929.90 = 5,350.32/x
  3. Step 3: Cross multiply
    5,743.98x = 7,929.90 × 5,350.32
  4. Step 4: Simplify right side
    5,743.98x = 42,427,502.57
  5. Step 5: Solve for x
    x = 42,427,502.57/5,743.98
  6. Step 6: Final answer
    x = 7,386.43

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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.