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Finding the Fourth Proportional to 3,425.70, 5,140.17 and 1,966.08

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Solution

The fourth proportional to 3,425.70, 5,140.17 and 1,966.08 is: 2,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.70 : 5,140.17 = 1,966.08 : x
  2. Step 2: Convert to fraction form
    3,425.70/5,140.17 = 1,966.08/x
  3. Step 3: Cross multiply
    3,425.70x = 5,140.17 × 1,966.08
  4. Step 4: Simplify right side
    3,425.70x = 10,105,985.43
  5. Step 5: Solve for x
    x = 10,105,985.43/3,425.70
  6. Step 6: Final answer
    x = 2,950.05

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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.