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Finding the Fourth Proportional to 5,830.34, 8,747.21 and 1,881.52

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Solution

The fourth proportional to 5,830.34, 8,747.21 and 1,881.52 is: 2,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.34 : 8,747.21 = 1,881.52 : x
  2. Step 2: Convert to fraction form
    5,830.34/8,747.21 = 1,881.52/x
  3. Step 3: Cross multiply
    5,830.34x = 8,747.21 × 1,881.52
  4. Step 4: Simplify right side
    5,830.34x = 16,458,033.39
  5. Step 5: Solve for x
    x = 16,458,033.39/5,830.34
  6. Step 6: Final answer
    x = 2,822.82

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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.