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Finding the Fourth Proportional to 3,568.68, 4,924.71 and 2,077.38

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Solution

The fourth proportional to 3,568.68, 4,924.71 and 2,077.38 is: 2,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.68 : 4,924.71 = 2,077.38 : x
  2. Step 2: Convert to fraction form
    3,568.68/4,924.71 = 2,077.38/x
  3. Step 3: Cross multiply
    3,568.68x = 4,924.71 × 2,077.38
  4. Step 4: Simplify right side
    3,568.68x = 10,230,494.06
  5. Step 5: Solve for x
    x = 10,230,494.06/3,568.68
  6. Step 6: Final answer
    x = 2,866.74

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Why These Related Problems?

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