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Finding the Fourth Proportional to 5,582.58, 8,372.97 and 1,884.74

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Solution

The fourth proportional to 5,582.58, 8,372.97 and 1,884.74 is: 2,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.58 : 8,372.97 = 1,884.74 : x
  2. Step 2: Convert to fraction form
    5,582.58/8,372.97 = 1,884.74/x
  3. Step 3: Cross multiply
    5,582.58x = 8,372.97 × 1,884.74
  4. Step 4: Simplify right side
    5,582.58x = 15,780,829.61
  5. Step 5: Solve for x
    x = 15,780,829.61/5,582.58
  6. Step 6: Final answer
    x = 2,826.80

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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.