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Finding the Fourth Proportional to 4,728.32, 6,524.18 and 3,049.40

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Solution

The fourth proportional to 4,728.32, 6,524.18 and 3,049.40 is: 4,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.32 : 6,524.18 = 3,049.40 : x
  2. Step 2: Convert to fraction form
    4,728.32/6,524.18 = 3,049.40/x
  3. Step 3: Cross multiply
    4,728.32x = 6,524.18 × 3,049.40
  4. Step 4: Simplify right side
    4,728.32x = 19,894,834.49
  5. Step 5: Solve for x
    x = 19,894,834.49/4,728.32
  6. Step 6: Final answer
    x = 4,207.59

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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.