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Finding the Fourth Proportional to 3,802.88, 5,247.97 and 2,146.88

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Solution

The fourth proportional to 3,802.88, 5,247.97 and 2,146.88 is: 2,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.88 : 5,247.97 = 2,146.88 : x
  2. Step 2: Convert to fraction form
    3,802.88/5,247.97 = 2,146.88/x
  3. Step 3: Cross multiply
    3,802.88x = 5,247.97 × 2,146.88
  4. Step 4: Simplify right side
    3,802.88x = 11,266,761.83
  5. Step 5: Solve for x
    x = 11,266,761.83/3,802.88
  6. Step 6: Final answer
    x = 2,962.69

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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.