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Finding the Fourth Proportional to 3,568.74, 5,350.80 and 1,926.45

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Solution

The fourth proportional to 3,568.74, 5,350.80 and 1,926.45 is: 2,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.74 : 5,350.80 = 1,926.45 : x
  2. Step 2: Convert to fraction form
    3,568.74/5,350.80 = 1,926.45/x
  3. Step 3: Cross multiply
    3,568.74x = 5,350.80 × 1,926.45
  4. Step 4: Simplify right side
    3,568.74x = 10,308,048.66
  5. Step 5: Solve for x
    x = 10,308,048.66/3,568.74
  6. Step 6: Final answer
    x = 2,888.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.