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Finding the Fourth Proportional to 3,416.59, 5,125.07 and 1,957.15

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Solution

The fourth proportional to 3,416.59, 5,125.07 and 1,957.15 is: 2,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.59 : 5,125.07 = 1,957.15 : x
  2. Step 2: Convert to fraction form
    3,416.59/5,125.07 = 1,957.15/x
  3. Step 3: Cross multiply
    3,416.59x = 5,125.07 × 1,957.15
  4. Step 4: Simplify right side
    3,416.59x = 10,030,530.75
  5. Step 5: Solve for x
    x = 10,030,530.75/3,416.59
  6. Step 6: Final answer
    x = 2,935.83

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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.