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Finding the Fourth Proportional to 5,158.52, 7,737.62 and 1,460.66

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Solution

The fourth proportional to 5,158.52, 7,737.62 and 1,460.66 is: 2,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.52 : 7,737.62 = 1,460.66 : x
  2. Step 2: Convert to fraction form
    5,158.52/7,737.62 = 1,460.66/x
  3. Step 3: Cross multiply
    5,158.52x = 7,737.62 × 1,460.66
  4. Step 4: Simplify right side
    5,158.52x = 11,302,032.03
  5. Step 5: Solve for x
    x = 11,302,032.03/5,158.52
  6. Step 6: Final answer
    x = 2,190.94

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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.