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Finding the Fourth Proportional to 4,315.66, 6,468.86 and 2,462.78

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Solution

The fourth proportional to 4,315.66, 6,468.86 and 2,462.78 is: 3,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.66 : 6,468.86 = 2,462.78 : x
  2. Step 2: Convert to fraction form
    4,315.66/6,468.86 = 2,462.78/x
  3. Step 3: Cross multiply
    4,315.66x = 6,468.86 × 2,462.78
  4. Step 4: Simplify right side
    4,315.66x = 15,931,379.03
  5. Step 5: Solve for x
    x = 15,931,379.03/4,315.66
  6. Step 6: Final answer
    x = 3,691.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.