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Finding the Fourth Proportional to 3,568.09, 4,923.85 and 1,952.93

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Solution

The fourth proportional to 3,568.09, 4,923.85 and 1,952.93 is: 2,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.09 : 4,923.85 = 1,952.93 : x
  2. Step 2: Convert to fraction form
    3,568.09/4,923.85 = 1,952.93/x
  3. Step 3: Cross multiply
    3,568.09x = 4,923.85 × 1,952.93
  4. Step 4: Simplify right side
    3,568.09x = 9,615,934.38
  5. Step 5: Solve for x
    x = 9,615,934.38/3,568.09
  6. Step 6: Final answer
    x = 2,694.98

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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.