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Finding the Fourth Proportional to 4,862.06, 7,255.14 and 4,338.47

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Solution

The fourth proportional to 4,862.06, 7,255.14 and 4,338.47 is: 6,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.06 : 7,255.14 = 4,338.47 : x
  2. Step 2: Convert to fraction form
    4,862.06/7,255.14 = 4,338.47/x
  3. Step 3: Cross multiply
    4,862.06x = 7,255.14 × 4,338.47
  4. Step 4: Simplify right side
    4,862.06x = 31,476,170.96
  5. Step 5: Solve for x
    x = 31,476,170.96/4,862.06
  6. Step 6: Final answer
    x = 6,473.84

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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.