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Finding the Fourth Proportional to 5,158.42, 7,737.39 and 1,262.62

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Solution

The fourth proportional to 5,158.42, 7,737.39 and 1,262.62 is: 1,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.42 : 7,737.39 = 1,262.62 : x
  2. Step 2: Convert to fraction form
    5,158.42/7,737.39 = 1,262.62/x
  3. Step 3: Cross multiply
    5,158.42x = 7,737.39 × 1,262.62
  4. Step 4: Simplify right side
    5,158.42x = 9,769,383.36
  5. Step 5: Solve for x
    x = 9,769,383.36/5,158.42
  6. Step 6: Final answer
    x = 1,893.87

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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.