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Finding the Fourth Proportional to 4,711.44, 7,053.06 and 2,856.90

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Solution

The fourth proportional to 4,711.44, 7,053.06 and 2,856.90 is: 4,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.44 : 7,053.06 = 2,856.90 : x
  2. Step 2: Convert to fraction form
    4,711.44/7,053.06 = 2,856.90/x
  3. Step 3: Cross multiply
    4,711.44x = 7,053.06 × 2,856.90
  4. Step 4: Simplify right side
    4,711.44x = 20,149,887.11
  5. Step 5: Solve for x
    x = 20,149,887.11/4,711.44
  6. Step 6: Final answer
    x = 4,276.80

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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.