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Finding the Fourth Proportional to 4,744.44, 6,543.18 and 3,416.04

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Solution

The fourth proportional to 4,744.44, 6,543.18 and 3,416.04 is: 4,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.44 : 6,543.18 = 3,416.04 : x
  2. Step 2: Convert to fraction form
    4,744.44/6,543.18 = 3,416.04/x
  3. Step 3: Cross multiply
    4,744.44x = 6,543.18 × 3,416.04
  4. Step 4: Simplify right side
    4,744.44x = 22,351,764.61
  5. Step 5: Solve for x
    x = 22,351,764.61/4,744.44
  6. Step 6: Final answer
    x = 4,711.15

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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.