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Finding the Fourth Proportional to 5,591.96, 8,387.46 and 1,894.11

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Solution

The fourth proportional to 5,591.96, 8,387.46 and 1,894.11 is: 2,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.96 : 8,387.46 = 1,894.11 : x
  2. Step 2: Convert to fraction form
    5,591.96/8,387.46 = 1,894.11/x
  3. Step 3: Cross multiply
    5,591.96x = 8,387.46 × 1,894.11
  4. Step 4: Simplify right side
    5,591.96x = 15,886,771.86
  5. Step 5: Solve for x
    x = 15,886,771.86/5,591.96
  6. Step 6: Final answer
    x = 2,841.00

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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.