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Finding the Fourth Proportional to 3,872.93, 5,345.90 and 2,279.49

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Solution

The fourth proportional to 3,872.93, 5,345.90 and 2,279.49 is: 3,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.93 : 5,345.90 = 2,279.49 : x
  2. Step 2: Convert to fraction form
    3,872.93/5,345.90 = 2,279.49/x
  3. Step 3: Cross multiply
    3,872.93x = 5,345.90 × 2,279.49
  4. Step 4: Simplify right side
    3,872.93x = 12,185,931.29
  5. Step 5: Solve for x
    x = 12,185,931.29/3,872.93
  6. Step 6: Final answer
    x = 3,146.44

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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.