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Finding the Fourth Proportional to 3,447.63, 4,758.01 and 2,887.14

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Solution

The fourth proportional to 3,447.63, 4,758.01 and 2,887.14 is: 3,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.63 : 4,758.01 = 2,887.14 : x
  2. Step 2: Convert to fraction form
    3,447.63/4,758.01 = 2,887.14/x
  3. Step 3: Cross multiply
    3,447.63x = 4,758.01 × 2,887.14
  4. Step 4: Simplify right side
    3,447.63x = 13,737,011.47
  5. Step 5: Solve for x
    x = 13,737,011.47/3,447.63
  6. Step 6: Final answer
    x = 3,984.48

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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.