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Finding the Fourth Proportional to 4,169.78, 5,754.38 and 2,281.48

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Solution

The fourth proportional to 4,169.78, 5,754.38 and 2,281.48 is: 3,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.78 : 5,754.38 = 2,281.48 : x
  2. Step 2: Convert to fraction form
    4,169.78/5,754.38 = 2,281.48/x
  3. Step 3: Cross multiply
    4,169.78x = 5,754.38 × 2,281.48
  4. Step 4: Simplify right side
    4,169.78x = 13,128,509.46
  5. Step 5: Solve for x
    x = 13,128,509.46/4,169.78
  6. Step 6: Final answer
    x = 3,148.49

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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.