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Finding the Fourth Proportional to 3,398.99, 5,097.68 and 934.01

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Solution

The fourth proportional to 3,398.99, 5,097.68 and 934.01 is: 1,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.99 : 5,097.68 = 934.01 : x
  2. Step 2: Convert to fraction form
    3,398.99/5,097.68 = 934.01/x
  3. Step 3: Cross multiply
    3,398.99x = 5,097.68 × 934.01
  4. Step 4: Simplify right side
    3,398.99x = 4,761,267.47
  5. Step 5: Solve for x
    x = 4,761,267.47/3,398.99
  6. Step 6: Final answer
    x = 1,400.79

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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.