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Finding the Fourth Proportional to 5,158.43, 7,737.92 and 1,262.87

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Solution

The fourth proportional to 5,158.43, 7,737.92 and 1,262.87 is: 1,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.43 : 7,737.92 = 1,262.87 : x
  2. Step 2: Convert to fraction form
    5,158.43/7,737.92 = 1,262.87/x
  3. Step 3: Cross multiply
    5,158.43x = 7,737.92 × 1,262.87
  4. Step 4: Simplify right side
    5,158.43x = 9,771,980.72
  5. Step 5: Solve for x
    x = 9,771,980.72/5,158.43
  6. Step 6: Final answer
    x = 1,894.37

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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.