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Finding the Fourth Proportional to 5,849.91, 8,774.87 and 1,954.35

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Solution

The fourth proportional to 5,849.91, 8,774.87 and 1,954.35 is: 2,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.91 : 8,774.87 = 1,954.35 : x
  2. Step 2: Convert to fraction form
    5,849.91/8,774.87 = 1,954.35/x
  3. Step 3: Cross multiply
    5,849.91x = 8,774.87 × 1,954.35
  4. Step 4: Simplify right side
    5,849.91x = 17,149,157.41
  5. Step 5: Solve for x
    x = 17,149,157.41/5,849.91
  6. Step 6: Final answer
    x = 2,931.53

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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.