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Finding the Fourth Proportional to 2,824.96, 4,213.43 and 2,775.76

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Solution

The fourth proportional to 2,824.96, 4,213.43 and 2,775.76 is: 4,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.96 : 4,213.43 = 2,775.76 : x
  2. Step 2: Convert to fraction form
    2,824.96/4,213.43 = 2,775.76/x
  3. Step 3: Cross multiply
    2,824.96x = 4,213.43 × 2,775.76
  4. Step 4: Simplify right side
    2,824.96x = 11,695,470.46
  5. Step 5: Solve for x
    x = 11,695,470.46/2,824.96
  6. Step 6: Final answer
    x = 4,140.05

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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.