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Finding the Fourth Proportional to 3,397.88, 5,097.90 and 1,549.76

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Solution

The fourth proportional to 3,397.88, 5,097.90 and 1,549.76 is: 2,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.88 : 5,097.90 = 1,549.76 : x
  2. Step 2: Convert to fraction form
    3,397.88/5,097.90 = 1,549.76/x
  3. Step 3: Cross multiply
    3,397.88x = 5,097.90 × 1,549.76
  4. Step 4: Simplify right side
    3,397.88x = 7,900,521.50
  5. Step 5: Solve for x
    x = 7,900,521.50/3,397.88
  6. Step 6: Final answer
    x = 2,325.13

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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.