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Finding the Fourth Proportional to 5,158.73, 7,737.61 and 1,460.87

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Solution

The fourth proportional to 5,158.73, 7,737.61 and 1,460.87 is: 2,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.73 : 7,737.61 = 1,460.87 : x
  2. Step 2: Convert to fraction form
    5,158.73/7,737.61 = 1,460.87/x
  3. Step 3: Cross multiply
    5,158.73x = 7,737.61 × 1,460.87
  4. Step 4: Simplify right side
    5,158.73x = 11,303,635.02
  5. Step 5: Solve for x
    x = 11,303,635.02/5,158.73
  6. Step 6: Final answer
    x = 2,191.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.