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Finding the Fourth Proportional to 3,001.62, 4,502.38 and 1,357.02

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Solution

The fourth proportional to 3,001.62, 4,502.38 and 1,357.02 is: 2,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.62 : 4,502.38 = 1,357.02 : x
  2. Step 2: Convert to fraction form
    3,001.62/4,502.38 = 1,357.02/x
  3. Step 3: Cross multiply
    3,001.62x = 4,502.38 × 1,357.02
  4. Step 4: Simplify right side
    3,001.62x = 6,109,819.71
  5. Step 5: Solve for x
    x = 6,109,819.71/3,001.62
  6. Step 6: Final answer
    x = 2,035.51

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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.