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Finding the Fourth Proportional to 3,502.33, 5,253.36 and 869.84

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Solution

The fourth proportional to 3,502.33, 5,253.36 and 869.84 is: 1,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.33 : 5,253.36 = 869.84 : x
  2. Step 2: Convert to fraction form
    3,502.33/5,253.36 = 869.84/x
  3. Step 3: Cross multiply
    3,502.33x = 5,253.36 × 869.84
  4. Step 4: Simplify right side
    3,502.33x = 4,569,578.31
  5. Step 5: Solve for x
    x = 4,569,578.31/3,502.33
  6. Step 6: Final answer
    x = 1,304.73

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1.5x scale

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.