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Finding the Fourth Proportional to 4,468.74, 6,704.74 and 2,158.62

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Solution

The fourth proportional to 4,468.74, 6,704.74 and 2,158.62 is: 3,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.74 : 6,704.74 = 2,158.62 : x
  2. Step 2: Convert to fraction form
    4,468.74/6,704.74 = 2,158.62/x
  3. Step 3: Cross multiply
    4,468.74x = 6,704.74 × 2,158.62
  4. Step 4: Simplify right side
    4,468.74x = 14,472,985.86
  5. Step 5: Solve for x
    x = 14,472,985.86/4,468.74
  6. Step 6: Final answer
    x = 3,238.72

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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.