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Finding the Fourth Proportional to 5,346.56, 8,025.24 and 4,957.76

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Solution

The fourth proportional to 5,346.56, 8,025.24 and 4,957.76 is: 7,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.56 : 8,025.24 = 4,957.76 : x
  2. Step 2: Convert to fraction form
    5,346.56/8,025.24 = 4,957.76/x
  3. Step 3: Cross multiply
    5,346.56x = 8,025.24 × 4,957.76
  4. Step 4: Simplify right side
    5,346.56x = 39,787,213.86
  5. Step 5: Solve for x
    x = 39,787,213.86/5,346.56
  6. Step 6: Final answer
    x = 7,441.65

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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.