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Finding the Fourth Proportional to 3,766.32, 5,647.56 and 1,266.65

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Solution

The fourth proportional to 3,766.32, 5,647.56 and 1,266.65 is: 1,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.32 : 5,647.56 = 1,266.65 : x
  2. Step 2: Convert to fraction form
    3,766.32/5,647.56 = 1,266.65/x
  3. Step 3: Cross multiply
    3,766.32x = 5,647.56 × 1,266.65
  4. Step 4: Simplify right side
    3,766.32x = 7,153,453.64
  5. Step 5: Solve for x
    x = 7,153,453.64/3,766.32
  6. Step 6: Final answer
    x = 1,899.32

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Why These Related Problems?

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