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Finding the Fourth Proportional to 4,764.18, 7,148.43 and 2,167.86

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Solution

The fourth proportional to 4,764.18, 7,148.43 and 2,167.86 is: 3,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.18 : 7,148.43 = 2,167.86 : x
  2. Step 2: Convert to fraction form
    4,764.18/7,148.43 = 2,167.86/x
  3. Step 3: Cross multiply
    4,764.18x = 7,148.43 × 2,167.86
  4. Step 4: Simplify right side
    4,764.18x = 15,496,795.46
  5. Step 5: Solve for x
    x = 15,496,795.46/4,764.18
  6. Step 6: Final answer
    x = 3,252.77

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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.