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Finding the Fourth Proportional to 3,275.72, 4,892.72 and 2,814.84

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Solution

The fourth proportional to 3,275.72, 4,892.72 and 2,814.84 is: 4,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.72 : 4,892.72 = 2,814.84 : x
  2. Step 2: Convert to fraction form
    3,275.72/4,892.72 = 2,814.84/x
  3. Step 3: Cross multiply
    3,275.72x = 4,892.72 × 2,814.84
  4. Step 4: Simplify right side
    3,275.72x = 13,772,223.96
  5. Step 5: Solve for x
    x = 13,772,223.96/3,275.72
  6. Step 6: Final answer
    x = 4,204.33

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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.