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Finding the Fourth Proportional to 4,227.93, 6,342.05 and 1,454.58

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Solution

The fourth proportional to 4,227.93, 6,342.05 and 1,454.58 is: 2,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.93 : 6,342.05 = 1,454.58 : x
  2. Step 2: Convert to fraction form
    4,227.93/6,342.05 = 1,454.58/x
  3. Step 3: Cross multiply
    4,227.93x = 6,342.05 × 1,454.58
  4. Step 4: Simplify right side
    4,227.93x = 9,225,019.09
  5. Step 5: Solve for x
    x = 9,225,019.09/4,227.93
  6. Step 6: Final answer
    x = 2,181.92

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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.