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Finding the Fourth Proportional to 4,494.84, 6,742.20 and 3,723.72

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Solution

The fourth proportional to 4,494.84, 6,742.20 and 3,723.72 is: 5,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.84 : 6,742.20 = 3,723.72 : x
  2. Step 2: Convert to fraction form
    4,494.84/6,742.20 = 3,723.72/x
  3. Step 3: Cross multiply
    4,494.84x = 6,742.20 × 3,723.72
  4. Step 4: Simplify right side
    4,494.84x = 25,106,064.98
  5. Step 5: Solve for x
    x = 25,106,064.98/4,494.84
  6. Step 6: Final answer
    x = 5,585.53

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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.