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Finding the Fourth Proportional to 3,497.50, 5,248.31 and 1,549.72

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Solution

The fourth proportional to 3,497.50, 5,248.31 and 1,549.72 is: 2,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.50 : 5,248.31 = 1,549.72 : x
  2. Step 2: Convert to fraction form
    3,497.50/5,248.31 = 1,549.72/x
  3. Step 3: Cross multiply
    3,497.50x = 5,248.31 × 1,549.72
  4. Step 4: Simplify right side
    3,497.50x = 8,133,410.97
  5. Step 5: Solve for x
    x = 8,133,410.97/3,497.50
  6. Step 6: Final answer
    x = 2,325.49

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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.