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Finding the Fourth Proportional to 4,168.55, 5,752.61 and 2,280.30

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Solution

The fourth proportional to 4,168.55, 5,752.61 and 2,280.30 is: 3,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.55 : 5,752.61 = 2,280.30 : x
  2. Step 2: Convert to fraction form
    4,168.55/5,752.61 = 2,280.30/x
  3. Step 3: Cross multiply
    4,168.55x = 5,752.61 × 2,280.30
  4. Step 4: Simplify right side
    4,168.55x = 13,117,665.18
  5. Step 5: Solve for x
    x = 13,117,665.18/4,168.55
  6. Step 6: Final answer
    x = 3,146.82

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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.