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Finding the Fourth Proportional to 3,519.32, 4,856.63 and 1,947.38

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Solution

The fourth proportional to 3,519.32, 4,856.63 and 1,947.38 is: 2,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.32 : 4,856.63 = 1,947.38 : x
  2. Step 2: Convert to fraction form
    3,519.32/4,856.63 = 1,947.38/x
  3. Step 3: Cross multiply
    3,519.32x = 4,856.63 × 1,947.38
  4. Step 4: Simplify right side
    3,519.32x = 9,457,670.11
  5. Step 5: Solve for x
    x = 9,457,670.11/3,519.32
  6. Step 6: Final answer
    x = 2,687.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.