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Finding the Fourth Proportional to 4,125.76, 5,692.02 and 2,849.55

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Solution

The fourth proportional to 4,125.76, 5,692.02 and 2,849.55 is: 3,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.76 : 5,692.02 = 2,849.55 : x
  2. Step 2: Convert to fraction form
    4,125.76/5,692.02 = 2,849.55/x
  3. Step 3: Cross multiply
    4,125.76x = 5,692.02 × 2,849.55
  4. Step 4: Simplify right side
    4,125.76x = 16,219,711.61
  5. Step 5: Solve for x
    x = 16,219,711.61/4,125.76
  6. Step 6: Final answer
    x = 3,931.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.