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Finding the Fourth Proportional to 4,273.90, 6,407.76 and 2,883.76

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Solution

The fourth proportional to 4,273.90, 6,407.76 and 2,883.76 is: 4,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.90 : 6,407.76 = 2,883.76 : x
  2. Step 2: Convert to fraction form
    4,273.90/6,407.76 = 2,883.76/x
  3. Step 3: Cross multiply
    4,273.90x = 6,407.76 × 2,883.76
  4. Step 4: Simplify right side
    4,273.90x = 18,478,441.98
  5. Step 5: Solve for x
    x = 18,478,441.98/4,273.90
  6. Step 6: Final answer
    x = 4,323.56

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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.