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Finding the Fourth Proportional to 4,312.31, 6,473.93 and 3,667.14

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Solution

The fourth proportional to 4,312.31, 6,473.93 and 3,667.14 is: 5,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.31 : 6,473.93 = 3,667.14 : x
  2. Step 2: Convert to fraction form
    4,312.31/6,473.93 = 3,667.14/x
  3. Step 3: Cross multiply
    4,312.31x = 6,473.93 × 3,667.14
  4. Step 4: Simplify right side
    4,312.31x = 23,740,789.32
  5. Step 5: Solve for x
    x = 23,740,789.32/4,312.31
  6. Step 6: Final answer
    x = 5,505.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.