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Finding the Fourth Proportional to 4,887.44, 7,331.16 and 1,965.06

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Solution

The fourth proportional to 4,887.44, 7,331.16 and 1,965.06 is: 2,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.44 : 7,331.16 = 1,965.06 : x
  2. Step 2: Convert to fraction form
    4,887.44/7,331.16 = 1,965.06/x
  3. Step 3: Cross multiply
    4,887.44x = 7,331.16 × 1,965.06
  4. Step 4: Simplify right side
    4,887.44x = 14,406,169.27
  5. Step 5: Solve for x
    x = 14,406,169.27/4,887.44
  6. Step 6: Final answer
    x = 2,947.59

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.