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Finding the Fourth Proportional to 4,102.48, 5,662.02 and 2,334.52

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Solution

The fourth proportional to 4,102.48, 5,662.02 and 2,334.52 is: 3,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.48 : 5,662.02 = 2,334.52 : x
  2. Step 2: Convert to fraction form
    4,102.48/5,662.02 = 2,334.52/x
  3. Step 3: Cross multiply
    4,102.48x = 5,662.02 × 2,334.52
  4. Step 4: Simplify right side
    4,102.48x = 13,218,098.93
  5. Step 5: Solve for x
    x = 13,218,098.93/4,102.48
  6. Step 6: Final answer
    x = 3,221.98

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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.