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Finding the Fourth Proportional to 3,583.56, 5,377.68 and 1,275

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Solution

The fourth proportional to 3,583.56, 5,377.68 and 1,275 is: 1,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.56 : 5,377.68 = 1,275 : x
  2. Step 2: Convert to fraction form
    3,583.56/5,377.68 = 1,275/x
  3. Step 3: Cross multiply
    3,583.56x = 5,377.68 × 1,275
  4. Step 4: Simplify right side
    3,583.56x = 6,856,542
  5. Step 5: Solve for x
    x = 6,856,542/3,583.56
  6. Step 6: Final answer
    x = 1,913.33

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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.