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Finding the Fourth Proportional to 3,586.96, 5,373.96 and 1,856.80

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Solution

The fourth proportional to 3,586.96, 5,373.96 and 1,856.80 is: 2,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.96 : 5,373.96 = 1,856.80 : x
  2. Step 2: Convert to fraction form
    3,586.96/5,373.96 = 1,856.80/x
  3. Step 3: Cross multiply
    3,586.96x = 5,373.96 × 1,856.80
  4. Step 4: Simplify right side
    3,586.96x = 9,978,368.93
  5. Step 5: Solve for x
    x = 9,978,368.93/3,586.96
  6. Step 6: Final answer
    x = 2,781.85

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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.