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Finding the Fourth Proportional to 3,753.84, 5,176.80 and 2,969.76

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Solution

The fourth proportional to 3,753.84, 5,176.80 and 2,969.76 is: 4,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.84 : 5,176.80 = 2,969.76 : x
  2. Step 2: Convert to fraction form
    3,753.84/5,176.80 = 2,969.76/x
  3. Step 3: Cross multiply
    3,753.84x = 5,176.80 × 2,969.76
  4. Step 4: Simplify right side
    3,753.84x = 15,373,853.57
  5. Step 5: Solve for x
    x = 15,373,853.57/3,753.84
  6. Step 6: Final answer
    x = 4,095.50

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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.