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Finding the Fourth Proportional to 3,566.40, 5,351.28 and 1,375.92

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Solution

The fourth proportional to 3,566.40, 5,351.28 and 1,375.92 is: 2,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.40 : 5,351.28 = 1,375.92 : x
  2. Step 2: Convert to fraction form
    3,566.40/5,351.28 = 1,375.92/x
  3. Step 3: Cross multiply
    3,566.40x = 5,351.28 × 1,375.92
  4. Step 4: Simplify right side
    3,566.40x = 7,362,933.18
  5. Step 5: Solve for x
    x = 7,362,933.18/3,566.40
  6. Step 6: Final answer
    x = 2,064.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.