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Finding the Fourth Proportional to 3,566.91, 5,347.72 and 1,100.33

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Solution

The fourth proportional to 3,566.91, 5,347.72 and 1,100.33 is: 1,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.91 : 5,347.72 = 1,100.33 : x
  2. Step 2: Convert to fraction form
    3,566.91/5,347.72 = 1,100.33/x
  3. Step 3: Cross multiply
    3,566.91x = 5,347.72 × 1,100.33
  4. Step 4: Simplify right side
    3,566.91x = 5,884,256.75
  5. Step 5: Solve for x
    x = 5,884,256.75/3,566.91
  6. Step 6: Final answer
    x = 1,649.68

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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.