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Finding the Fourth Proportional to 3,855.76, 5,320.66 and 2,283.28

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Solution

The fourth proportional to 3,855.76, 5,320.66 and 2,283.28 is: 3,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.76 : 5,320.66 = 2,283.28 : x
  2. Step 2: Convert to fraction form
    3,855.76/5,320.66 = 2,283.28/x
  3. Step 3: Cross multiply
    3,855.76x = 5,320.66 × 2,283.28
  4. Step 4: Simplify right side
    3,855.76x = 12,148,556.56
  5. Step 5: Solve for x
    x = 12,148,556.56/3,855.76
  6. Step 6: Final answer
    x = 3,150.76

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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.