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Finding the Fourth Proportional to 4,862.56, 7,255.89 and 4,338.96

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Solution

The fourth proportional to 4,862.56, 7,255.89 and 4,338.96 is: 6,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.56 : 7,255.89 = 4,338.96 : x
  2. Step 2: Convert to fraction form
    4,862.56/7,255.89 = 4,338.96/x
  3. Step 3: Cross multiply
    4,862.56x = 7,255.89 × 4,338.96
  4. Step 4: Simplify right side
    4,862.56x = 31,483,016.47
  5. Step 5: Solve for x
    x = 31,483,016.47/4,862.56
  6. Step 6: Final answer
    x = 6,474.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.