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Finding the Fourth Proportional to 8,585.46, 12,881.03 and 3,659.24

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Solution

The fourth proportional to 8,585.46, 12,881.03 and 3,659.24 is: 5,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.46 : 12,881.03 = 3,659.24 : x
  2. Step 2: Convert to fraction form
    8,585.46/12,881.03 = 3,659.24/x
  3. Step 3: Cross multiply
    8,585.46x = 12,881.03 × 3,659.24
  4. Step 4: Simplify right side
    8,585.46x = 47,134,794.12
  5. Step 5: Solve for x
    x = 47,134,794.12/8,585.46
  6. Step 6: Final answer
    x = 5,490.07

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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.