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Finding the Fourth Proportional to 4,048.64, 5,587.10 and 2,280.82

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Solution

The fourth proportional to 4,048.64, 5,587.10 and 2,280.82 is: 3,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.64 : 5,587.10 = 2,280.82 : x
  2. Step 2: Convert to fraction form
    4,048.64/5,587.10 = 2,280.82/x
  3. Step 3: Cross multiply
    4,048.64x = 5,587.10 × 2,280.82
  4. Step 4: Simplify right side
    4,048.64x = 12,743,169.42
  5. Step 5: Solve for x
    x = 12,743,169.42/4,048.64
  6. Step 6: Final answer
    x = 3,147.52

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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.