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Finding the Fourth Proportional to 5,385.76, 7,424.32 and 3,288.48

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Solution

The fourth proportional to 5,385.76, 7,424.32 and 3,288.48 is: 4,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.76 : 7,424.32 = 3,288.48 : x
  2. Step 2: Convert to fraction form
    5,385.76/7,424.32 = 3,288.48/x
  3. Step 3: Cross multiply
    5,385.76x = 7,424.32 × 3,288.48
  4. Step 4: Simplify right side
    5,385.76x = 24,414,727.83
  5. Step 5: Solve for x
    x = 24,414,727.83/5,385.76
  6. Step 6: Final answer
    x = 4,533.20

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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.