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Finding the Fourth Proportional to 4,872.74, 6,723.99 and 2,984.90

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Solution

The fourth proportional to 4,872.74, 6,723.99 and 2,984.90 is: 4,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.74 : 6,723.99 = 2,984.90 : x
  2. Step 2: Convert to fraction form
    4,872.74/6,723.99 = 2,984.90/x
  3. Step 3: Cross multiply
    4,872.74x = 6,723.99 × 2,984.90
  4. Step 4: Simplify right side
    4,872.74x = 20,070,404.13
  5. Step 5: Solve for x
    x = 20,070,404.13/4,872.74
  6. Step 6: Final answer
    x = 4,118.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.