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Finding the Fourth Proportional to 4,157.52, 5,737.68 and 2,389.68

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Solution

The fourth proportional to 4,157.52, 5,737.68 and 2,389.68 is: 3,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.52 : 5,737.68 = 2,389.68 : x
  2. Step 2: Convert to fraction form
    4,157.52/5,737.68 = 2,389.68/x
  3. Step 3: Cross multiply
    4,157.52x = 5,737.68 × 2,389.68
  4. Step 4: Simplify right side
    4,157.52x = 13,711,219.14
  5. Step 5: Solve for x
    x = 13,711,219.14/4,157.52
  6. Step 6: Final answer
    x = 3,297.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.