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Finding the Fourth Proportional to 4,168.61, 5,752.65 and 2,280.20

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Solution

The fourth proportional to 4,168.61, 5,752.65 and 2,280.20 is: 3,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.61 : 5,752.65 = 2,280.20 : x
  2. Step 2: Convert to fraction form
    4,168.61/5,752.65 = 2,280.20/x
  3. Step 3: Cross multiply
    4,168.61x = 5,752.65 × 2,280.20
  4. Step 4: Simplify right side
    4,168.61x = 13,117,192.53
  5. Step 5: Solve for x
    x = 13,117,192.53/4,168.61
  6. Step 6: Final answer
    x = 3,146.66

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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.