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Finding the Fourth Proportional to 4,617.48, 6,926.22 and 2,151.84

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Solution

The fourth proportional to 4,617.48, 6,926.22 and 2,151.84 is: 3,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.48 : 6,926.22 = 2,151.84 : x
  2. Step 2: Convert to fraction form
    4,617.48/6,926.22 = 2,151.84/x
  3. Step 3: Cross multiply
    4,617.48x = 6,926.22 × 2,151.84
  4. Step 4: Simplify right side
    4,617.48x = 14,904,117.24
  5. Step 5: Solve for x
    x = 14,904,117.24/4,617.48
  6. Step 6: Final answer
    x = 3,227.76

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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.