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Finding the Fourth Proportional to 5,582.47, 8,375.88 and 1,884.82

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Solution

The fourth proportional to 5,582.47, 8,375.88 and 1,884.82 is: 2,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.47 : 8,375.88 = 1,884.82 : x
  2. Step 2: Convert to fraction form
    5,582.47/8,375.88 = 1,884.82/x
  3. Step 3: Cross multiply
    5,582.47x = 8,375.88 × 1,884.82
  4. Step 4: Simplify right side
    5,582.47x = 15,787,026.14
  5. Step 5: Solve for x
    x = 15,787,026.14/5,582.47
  6. Step 6: Final answer
    x = 2,827.96

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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.