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Finding the Fourth Proportional to 5,581.68, 8,374.48 and 1,884.32

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Solution

The fourth proportional to 5,581.68, 8,374.48 and 1,884.32 is: 2,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.68 : 8,374.48 = 1,884.32 : x
  2. Step 2: Convert to fraction form
    5,581.68/8,374.48 = 1,884.32/x
  3. Step 3: Cross multiply
    5,581.68x = 8,374.48 × 1,884.32
  4. Step 4: Simplify right side
    5,581.68x = 15,780,200.15
  5. Step 5: Solve for x
    x = 15,780,200.15/5,581.68
  6. Step 6: Final answer
    x = 2,827.14

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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.