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Finding the Fourth Proportional to 5,781.04, 8,655.86 and 3,001.86

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Solution

The fourth proportional to 5,781.04, 8,655.86 and 3,001.86 is: 4,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.04 : 8,655.86 = 3,001.86 : x
  2. Step 2: Convert to fraction form
    5,781.04/8,655.86 = 3,001.86/x
  3. Step 3: Cross multiply
    5,781.04x = 8,655.86 × 3,001.86
  4. Step 4: Simplify right side
    5,781.04x = 25,983,679.90
  5. Step 5: Solve for x
    x = 25,983,679.90/5,781.04
  6. Step 6: Final answer
    x = 4,494.64

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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.