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Finding the Fourth Proportional to 3,497.34, 5,245.97 and 1,417.31

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Solution

The fourth proportional to 3,497.34, 5,245.97 and 1,417.31 is: 2,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.34 : 5,245.97 = 1,417.31 : x
  2. Step 2: Convert to fraction form
    3,497.34/5,245.97 = 1,417.31/x
  3. Step 3: Cross multiply
    3,497.34x = 5,245.97 × 1,417.31
  4. Step 4: Simplify right side
    3,497.34x = 7,435,165.74
  5. Step 5: Solve for x
    x = 7,435,165.74/3,497.34
  6. Step 6: Final answer
    x = 2,125.95

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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.