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Finding the Fourth Proportional to 5,641.24, 7,776.76 and 3,957.42

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Solution

The fourth proportional to 5,641.24, 7,776.76 and 3,957.42 is: 5,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.24 : 7,776.76 = 3,957.42 : x
  2. Step 2: Convert to fraction form
    5,641.24/7,776.76 = 3,957.42/x
  3. Step 3: Cross multiply
    5,641.24x = 7,776.76 × 3,957.42
  4. Step 4: Simplify right side
    5,641.24x = 30,775,905.56
  5. Step 5: Solve for x
    x = 30,775,905.56/5,641.24
  6. Step 6: Final answer
    x = 5,455.52

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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.