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Finding the Fourth Proportional to 4,062.28, 6,093.42 and 1,464.61

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Solution

The fourth proportional to 4,062.28, 6,093.42 and 1,464.61 is: 2,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.28 : 6,093.42 = 1,464.61 : x
  2. Step 2: Convert to fraction form
    4,062.28/6,093.42 = 1,464.61/x
  3. Step 3: Cross multiply
    4,062.28x = 6,093.42 × 1,464.61
  4. Step 4: Simplify right side
    4,062.28x = 8,924,483.87
  5. Step 5: Solve for x
    x = 8,924,483.87/4,062.28
  6. Step 6: Final answer
    x = 2,196.92

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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.