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Finding the Fourth Proportional to 5,980.86, 8,254.17 and 3,624.66

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Solution

The fourth proportional to 5,980.86, 8,254.17 and 3,624.66 is: 5,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.86 : 8,254.17 = 3,624.66 : x
  2. Step 2: Convert to fraction form
    5,980.86/8,254.17 = 3,624.66/x
  3. Step 3: Cross multiply
    5,980.86x = 8,254.17 × 3,624.66
  4. Step 4: Simplify right side
    5,980.86x = 29,918,559.83
  5. Step 5: Solve for x
    x = 29,918,559.83/5,980.86
  6. Step 6: Final answer
    x = 5,002.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.