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Finding the Fourth Proportional to 5,983.13, 8,929.89 and 5,589.47

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Solution

The fourth proportional to 5,983.13, 8,929.89 and 5,589.47 is: 8,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.13 : 8,929.89 = 5,589.47 : x
  2. Step 2: Convert to fraction form
    5,983.13/8,929.89 = 5,589.47/x
  3. Step 3: Cross multiply
    5,983.13x = 8,929.89 × 5,589.47
  4. Step 4: Simplify right side
    5,983.13x = 49,913,352.26
  5. Step 5: Solve for x
    x = 49,913,352.26/5,983.13
  6. Step 6: Final answer
    x = 8,342.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.