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Finding the Fourth Proportional to 4,571.76, 6,856.44 and 1,649.52

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Solution

The fourth proportional to 4,571.76, 6,856.44 and 1,649.52 is: 2,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.76 : 6,856.44 = 1,649.52 : x
  2. Step 2: Convert to fraction form
    4,571.76/6,856.44 = 1,649.52/x
  3. Step 3: Cross multiply
    4,571.76x = 6,856.44 × 1,649.52
  4. Step 4: Simplify right side
    4,571.76x = 11,309,834.91
  5. Step 5: Solve for x
    x = 11,309,834.91/4,571.76
  6. Step 6: Final answer
    x = 2,473.85

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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.