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Finding the Fourth Proportional to 3,923.52, 5,409.54 and 2,873.76

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Solution

The fourth proportional to 3,923.52, 5,409.54 and 2,873.76 is: 3,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.52 : 5,409.54 = 2,873.76 : x
  2. Step 2: Convert to fraction form
    3,923.52/5,409.54 = 2,873.76/x
  3. Step 3: Cross multiply
    3,923.52x = 5,409.54 × 2,873.76
  4. Step 4: Simplify right side
    3,923.52x = 15,545,719.67
  5. Step 5: Solve for x
    x = 15,545,719.67/3,923.52
  6. Step 6: Final answer
    x = 3,962.19

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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.