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Finding the Fourth Proportional to 5,157.96, 7,737.04 and 1,262.40

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Solution

The fourth proportional to 5,157.96, 7,737.04 and 1,262.40 is: 1,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.96 : 7,737.04 = 1,262.40 : x
  2. Step 2: Convert to fraction form
    5,157.96/7,737.04 = 1,262.40/x
  3. Step 3: Cross multiply
    5,157.96x = 7,737.04 × 1,262.40
  4. Step 4: Simplify right side
    5,157.96x = 9,767,239.30
  5. Step 5: Solve for x
    x = 9,767,239.30/5,157.96
  6. Step 6: Final answer
    x = 1,893.62

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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.