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Finding the Fourth Proportional to 5,149.68, 7,106.66 and 3,556.66

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Solution

The fourth proportional to 5,149.68, 7,106.66 and 3,556.66 is: 4,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.68 : 7,106.66 = 3,556.66 : x
  2. Step 2: Convert to fraction form
    5,149.68/7,106.66 = 3,556.66/x
  3. Step 3: Cross multiply
    5,149.68x = 7,106.66 × 3,556.66
  4. Step 4: Simplify right side
    5,149.68x = 25,275,973.36
  5. Step 5: Solve for x
    x = 25,275,973.36/5,149.68
  6. Step 6: Final answer
    x = 4,908.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.