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Finding the Fourth Proportional to 3,047.47, 4,204.36 and 2,252.71

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Solution

The fourth proportional to 3,047.47, 4,204.36 and 2,252.71 is: 3,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.47 : 4,204.36 = 2,252.71 : x
  2. Step 2: Convert to fraction form
    3,047.47/4,204.36 = 2,252.71/x
  3. Step 3: Cross multiply
    3,047.47x = 4,204.36 × 2,252.71
  4. Step 4: Simplify right side
    3,047.47x = 9,471,203.82
  5. Step 5: Solve for x
    x = 9,471,203.82/3,047.47
  6. Step 6: Final answer
    x = 3,107.89

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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.