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Finding the Fourth Proportional to 3,885.15, 5,823.87 and 1,543.78

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Solution

The fourth proportional to 3,885.15, 5,823.87 and 1,543.78 is: 2,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.15 : 5,823.87 = 1,543.78 : x
  2. Step 2: Convert to fraction form
    3,885.15/5,823.87 = 1,543.78/x
  3. Step 3: Cross multiply
    3,885.15x = 5,823.87 × 1,543.78
  4. Step 4: Simplify right side
    3,885.15x = 8,990,774.03
  5. Step 5: Solve for x
    x = 8,990,774.03/3,885.15
  6. Step 6: Final answer
    x = 2,314.14

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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.