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Finding the Fourth Proportional to 3,566.48, 5,349.75 and 1,101.25

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Solution

The fourth proportional to 3,566.48, 5,349.75 and 1,101.25 is: 1,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.48 : 5,349.75 = 1,101.25 : x
  2. Step 2: Convert to fraction form
    3,566.48/5,349.75 = 1,101.25/x
  3. Step 3: Cross multiply
    3,566.48x = 5,349.75 × 1,101.25
  4. Step 4: Simplify right side
    3,566.48x = 5,891,384.65
  5. Step 5: Solve for x
    x = 5,891,384.65/3,566.48
  6. Step 6: Final answer
    x = 1,651.88

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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.