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Finding the Fourth Proportional to 4,275.72, 6,407.16 and 2,081.88

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Solution

The fourth proportional to 4,275.72, 6,407.16 and 2,081.88 is: 3,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.72 : 6,407.16 = 2,081.88 : x
  2. Step 2: Convert to fraction form
    4,275.72/6,407.16 = 2,081.88/x
  3. Step 3: Cross multiply
    4,275.72x = 6,407.16 × 2,081.88
  4. Step 4: Simplify right side
    4,275.72x = 13,338,938.26
  5. Step 5: Solve for x
    x = 13,338,938.26/4,275.72
  6. Step 6: Final answer
    x = 3,119.69

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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.