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Finding the Fourth Proportional to 3,497.14, 5,245.72 and 1,417.18

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Solution

The fourth proportional to 3,497.14, 5,245.72 and 1,417.18 is: 2,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.14 : 5,245.72 = 1,417.18 : x
  2. Step 2: Convert to fraction form
    3,497.14/5,245.72 = 1,417.18/x
  3. Step 3: Cross multiply
    3,497.14x = 5,245.72 × 1,417.18
  4. Step 4: Simplify right side
    3,497.14x = 7,434,137.80
  5. Step 5: Solve for x
    x = 7,434,137.80/3,497.14
  6. Step 6: Final answer
    x = 2,125.78

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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.