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Finding the Fourth Proportional to 3,473.40, 5,197.14 and 3,434.52

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Solution

The fourth proportional to 3,473.40, 5,197.14 and 3,434.52 is: 5,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.40 : 5,197.14 = 3,434.52 : x
  2. Step 2: Convert to fraction form
    3,473.40/5,197.14 = 3,434.52/x
  3. Step 3: Cross multiply
    3,473.40x = 5,197.14 × 3,434.52
  4. Step 4: Simplify right side
    3,473.40x = 17,849,681.27
  5. Step 5: Solve for x
    x = 17,849,681.27/3,473.40
  6. Step 6: Final answer
    x = 5,138.97

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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.