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Finding the Fourth Proportional to 5,496.62, 7,584.84 and 3,258.14

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Solution

The fourth proportional to 5,496.62, 7,584.84 and 3,258.14 is: 4,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.62 : 7,584.84 = 3,258.14 : x
  2. Step 2: Convert to fraction form
    5,496.62/7,584.84 = 3,258.14/x
  3. Step 3: Cross multiply
    5,496.62x = 7,584.84 × 3,258.14
  4. Step 4: Simplify right side
    5,496.62x = 24,712,470.60
  5. Step 5: Solve for x
    x = 24,712,470.60/5,496.62
  6. Step 6: Final answer
    x = 4,495.94

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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.