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Finding the Fourth Proportional to 5,599.76, 7,728 and 3,242.72

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Solution

The fourth proportional to 5,599.76, 7,728 and 3,242.72 is: 4,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.76 : 7,728 = 3,242.72 : x
  2. Step 2: Convert to fraction form
    5,599.76/7,728 = 3,242.72/x
  3. Step 3: Cross multiply
    5,599.76x = 7,728 × 3,242.72
  4. Step 4: Simplify right side
    5,599.76x = 25,059,740.16
  5. Step 5: Solve for x
    x = 25,059,740.16/5,599.76
  6. Step 6: Final answer
    x = 4,475.15

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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.