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Finding the Fourth Proportional to 3,589.58, 5,387.11 and 1,398.49

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Solution

The fourth proportional to 3,589.58, 5,387.11 and 1,398.49 is: 2,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.58 : 5,387.11 = 1,398.49 : x
  2. Step 2: Convert to fraction form
    3,589.58/5,387.11 = 1,398.49/x
  3. Step 3: Cross multiply
    3,589.58x = 5,387.11 × 1,398.49
  4. Step 4: Simplify right side
    3,589.58x = 7,533,802.50
  5. Step 5: Solve for x
    x = 7,533,802.50/3,589.58
  6. Step 6: Final answer
    x = 2,098.80

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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.