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Finding the Fourth Proportional to 3,566.09, 5,347.18 and 1,100.23

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Solution

The fourth proportional to 3,566.09, 5,347.18 and 1,100.23 is: 1,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.09 : 5,347.18 = 1,100.23 : x
  2. Step 2: Convert to fraction form
    3,566.09/5,347.18 = 1,100.23/x
  3. Step 3: Cross multiply
    3,566.09x = 5,347.18 × 1,100.23
  4. Step 4: Simplify right side
    3,566.09x = 5,883,127.85
  5. Step 5: Solve for x
    x = 5,883,127.85/3,566.09
  6. Step 6: Final answer
    x = 1,649.74

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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.