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Finding the Fourth Proportional to 4,157.17, 5,737.63 and 2,478.68

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Solution

The fourth proportional to 4,157.17, 5,737.63 and 2,478.68 is: 3,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.17 : 5,737.63 = 2,478.68 : x
  2. Step 2: Convert to fraction form
    4,157.17/5,737.63 = 2,478.68/x
  3. Step 3: Cross multiply
    4,157.17x = 5,737.63 × 2,478.68
  4. Step 4: Simplify right side
    4,157.17x = 14,221,748.73
  5. Step 5: Solve for x
    x = 14,221,748.73/4,157.17
  6. Step 6: Final answer
    x = 3,421.02

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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.