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Finding the Fourth Proportional to 3,911.40, 5,866.82 and 1,445.76

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Solution

The fourth proportional to 3,911.40, 5,866.82 and 1,445.76 is: 2,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.40 : 5,866.82 = 1,445.76 : x
  2. Step 2: Convert to fraction form
    3,911.40/5,866.82 = 1,445.76/x
  3. Step 3: Cross multiply
    3,911.40x = 5,866.82 × 1,445.76
  4. Step 4: Simplify right side
    3,911.40x = 8,482,013.68
  5. Step 5: Solve for x
    x = 8,482,013.68/3,911.40
  6. Step 6: Final answer
    x = 2,168.54

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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.