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Finding the Fourth Proportional to 5,257.14, 7,862.04 and 4,675.56

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Solution

The fourth proportional to 5,257.14, 7,862.04 and 4,675.56 is: 6,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.14 : 7,862.04 = 4,675.56 : x
  2. Step 2: Convert to fraction form
    5,257.14/7,862.04 = 4,675.56/x
  3. Step 3: Cross multiply
    5,257.14x = 7,862.04 × 4,675.56
  4. Step 4: Simplify right side
    5,257.14x = 36,759,439.74
  5. Step 5: Solve for x
    x = 36,759,439.74/5,257.14
  6. Step 6: Final answer
    x = 6,992.29

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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.