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Finding the Fourth Proportional to 5,731.87, 7,913.55 and 4,402.93

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Solution

The fourth proportional to 5,731.87, 7,913.55 and 4,402.93 is: 6,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.87 : 7,913.55 = 4,402.93 : x
  2. Step 2: Convert to fraction form
    5,731.87/7,913.55 = 4,402.93/x
  3. Step 3: Cross multiply
    5,731.87x = 7,913.55 × 4,402.93
  4. Step 4: Simplify right side
    5,731.87x = 34,842,806.70
  5. Step 5: Solve for x
    x = 34,842,806.70/5,731.87
  6. Step 6: Final answer
    x = 6,078.79

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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.