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Finding the Fourth Proportional to 4,728.72, 7,106.52 and 3,200.40

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Solution

The fourth proportional to 4,728.72, 7,106.52 and 3,200.40 is: 4,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.72 : 7,106.52 = 3,200.40 : x
  2. Step 2: Convert to fraction form
    4,728.72/7,106.52 = 3,200.40/x
  3. Step 3: Cross multiply
    4,728.72x = 7,106.52 × 3,200.40
  4. Step 4: Simplify right side
    4,728.72x = 22,743,706.61
  5. Step 5: Solve for x
    x = 22,743,706.61/4,728.72
  6. Step 6: Final answer
    x = 4,809.70

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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.