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Finding the Fourth Proportional to 5,157.93, 7,737.17 and 1,262.37

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Solution

The fourth proportional to 5,157.93, 7,737.17 and 1,262.37 is: 1,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.93 : 7,737.17 = 1,262.37 : x
  2. Step 2: Convert to fraction form
    5,157.93/7,737.17 = 1,262.37/x
  3. Step 3: Cross multiply
    5,157.93x = 7,737.17 × 1,262.37
  4. Step 4: Simplify right side
    5,157.93x = 9,767,164.98
  5. Step 5: Solve for x
    x = 9,767,164.98/5,157.93
  6. Step 6: Final answer
    x = 1,893.62

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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.