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Finding the Fourth Proportional to 4,176.95, 5,760.92 and 2,685

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Solution

The fourth proportional to 4,176.95, 5,760.92 and 2,685 is: 3,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.95 : 5,760.92 = 2,685 : x
  2. Step 2: Convert to fraction form
    4,176.95/5,760.92 = 2,685/x
  3. Step 3: Cross multiply
    4,176.95x = 5,760.92 × 2,685
  4. Step 4: Simplify right side
    4,176.95x = 15,468,056.78
  5. Step 5: Solve for x
    x = 15,468,056.78/4,176.95
  6. Step 6: Final answer
    x = 3,703.20

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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.