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Finding the Fourth Proportional to 3,398.49, 5,097.87 and 1,060.07

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Solution

The fourth proportional to 3,398.49, 5,097.87 and 1,060.07 is: 1,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.49 : 5,097.87 = 1,060.07 : x
  2. Step 2: Convert to fraction form
    3,398.49/5,097.87 = 1,060.07/x
  3. Step 3: Cross multiply
    3,398.49x = 5,097.87 × 1,060.07
  4. Step 4: Simplify right side
    3,398.49x = 5,404,073.56
  5. Step 5: Solve for x
    x = 5,404,073.56/3,398.49
  6. Step 6: Final answer
    x = 1,590.14

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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.