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Finding the Fourth Proportional to 4,102.98, 5,660.28 and 2,688.18

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Solution

The fourth proportional to 4,102.98, 5,660.28 and 2,688.18 is: 3,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.98 : 5,660.28 = 2,688.18 : x
  2. Step 2: Convert to fraction form
    4,102.98/5,660.28 = 2,688.18/x
  3. Step 3: Cross multiply
    4,102.98x = 5,660.28 × 2,688.18
  4. Step 4: Simplify right side
    4,102.98x = 15,215,851.49
  5. Step 5: Solve for x
    x = 15,215,851.49/4,102.98
  6. Step 6: Final answer
    x = 3,708.49

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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.