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Finding the Fourth Proportional to 3,816.70, 5,267.69 and 2,325.20

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Solution

The fourth proportional to 3,816.70, 5,267.69 and 2,325.20 is: 3,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.70 : 5,267.69 = 2,325.20 : x
  2. Step 2: Convert to fraction form
    3,816.70/5,267.69 = 2,325.20/x
  3. Step 3: Cross multiply
    3,816.70x = 5,267.69 × 2,325.20
  4. Step 4: Simplify right side
    3,816.70x = 12,248,432.79
  5. Step 5: Solve for x
    x = 12,248,432.79/3,816.70
  6. Step 6: Final answer
    x = 3,209.17

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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.