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Finding the Fourth Proportional to 5,970.18, 8,951.84 and 2,462.60

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Solution

The fourth proportional to 5,970.18, 8,951.84 and 2,462.60 is: 3,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.18 : 8,951.84 = 2,462.60 : x
  2. Step 2: Convert to fraction form
    5,970.18/8,951.84 = 2,462.60/x
  3. Step 3: Cross multiply
    5,970.18x = 8,951.84 × 2,462.60
  4. Step 4: Simplify right side
    5,970.18x = 22,044,827.41
  5. Step 5: Solve for x
    x = 22,044,827.41/5,970.18
  6. Step 6: Final answer
    x = 3,692.49

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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.