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Finding the Fourth Proportional to 3,497.52, 5,250 and 3,419.16

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Solution

The fourth proportional to 3,497.52, 5,250 and 3,419.16 is: 5,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.52 : 5,250 = 3,419.16 : x
  2. Step 2: Convert to fraction form
    3,497.52/5,250 = 3,419.16/x
  3. Step 3: Cross multiply
    3,497.52x = 5,250 × 3,419.16
  4. Step 4: Simplify right side
    3,497.52x = 17,950,590
  5. Step 5: Solve for x
    x = 17,950,590/3,497.52
  6. Step 6: Final answer
    x = 5,132.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.