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Finding the Fourth Proportional to 5,352, 7,382.97 and 3,584.04

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Solution

The fourth proportional to 5,352, 7,382.97 and 3,584.04 is: 4,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352 : 7,382.97 = 3,584.04 : x
  2. Step 2: Convert to fraction form
    5,352/7,382.97 = 3,584.04/x
  3. Step 3: Cross multiply
    5,352x = 7,382.97 × 3,584.04
  4. Step 4: Simplify right side
    5,352x = 26,460,859.80
  5. Step 5: Solve for x
    x = 26,460,859.80/5,352
  6. Step 6: Final answer
    x = 4,944.11

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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.