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Finding the Fourth Proportional to 4,310.46, 5,948.46 and 2,422.08

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Solution

The fourth proportional to 4,310.46, 5,948.46 and 2,422.08 is: 3,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.46 : 5,948.46 = 2,422.08 : x
  2. Step 2: Convert to fraction form
    4,310.46/5,948.46 = 2,422.08/x
  3. Step 3: Cross multiply
    4,310.46x = 5,948.46 × 2,422.08
  4. Step 4: Simplify right side
    4,310.46x = 14,407,646.00
  5. Step 5: Solve for x
    x = 14,407,646.00/4,310.46
  6. Step 6: Final answer
    x = 3,342.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.