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Finding the Fourth Proportional to 3,598.86, 5,398.74 and 1,001.80

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Solution

The fourth proportional to 3,598.86, 5,398.74 and 1,001.80 is: 1,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.86 : 5,398.74 = 1,001.80 : x
  2. Step 2: Convert to fraction form
    3,598.86/5,398.74 = 1,001.80/x
  3. Step 3: Cross multiply
    3,598.86x = 5,398.74 × 1,001.80
  4. Step 4: Simplify right side
    3,598.86x = 5,408,457.73
  5. Step 5: Solve for x
    x = 5,408,457.73/3,598.86
  6. Step 6: Final answer
    x = 1,502.83

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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.