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Finding the Fourth Proportional to 5,496, 7,584.02 and 3,106.19

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Solution

The fourth proportional to 5,496, 7,584.02 and 3,106.19 is: 4,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496 : 7,584.02 = 3,106.19 : x
  2. Step 2: Convert to fraction form
    5,496/7,584.02 = 3,106.19/x
  3. Step 3: Cross multiply
    5,496x = 7,584.02 × 3,106.19
  4. Step 4: Simplify right side
    5,496x = 23,557,353.63
  5. Step 5: Solve for x
    x = 23,557,353.63/5,496
  6. Step 6: Final answer
    x = 4,286.27

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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.