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Finding the Fourth Proportional to 5,662.64, 8,502.29 and 3,168.72

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Solution

The fourth proportional to 5,662.64, 8,502.29 and 3,168.72 is: 4,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.64 : 8,502.29 = 3,168.72 : x
  2. Step 2: Convert to fraction form
    5,662.64/8,502.29 = 3,168.72/x
  3. Step 3: Cross multiply
    5,662.64x = 8,502.29 × 3,168.72
  4. Step 4: Simplify right side
    5,662.64x = 26,941,360.53
  5. Step 5: Solve for x
    x = 26,941,360.53/5,662.64
  6. Step 6: Final answer
    x = 4,757.74

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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.