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Finding the Fourth Proportional to 3,645.66, 5,467.68 and 1,048.80

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Solution

The fourth proportional to 3,645.66, 5,467.68 and 1,048.80 is: 1,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.66 : 5,467.68 = 1,048.80 : x
  2. Step 2: Convert to fraction form
    3,645.66/5,467.68 = 1,048.80/x
  3. Step 3: Cross multiply
    3,645.66x = 5,467.68 × 1,048.80
  4. Step 4: Simplify right side
    3,645.66x = 5,734,502.78
  5. Step 5: Solve for x
    x = 5,734,502.78/3,645.66
  6. Step 6: Final answer
    x = 1,572.97

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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.