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Finding the Fourth Proportional to 5,616.45, 7,748.97 and 3,258.14

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Solution

The fourth proportional to 5,616.45, 7,748.97 and 3,258.14 is: 4,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.45 : 7,748.97 = 3,258.14 : x
  2. Step 2: Convert to fraction form
    5,616.45/7,748.97 = 3,258.14/x
  3. Step 3: Cross multiply
    5,616.45x = 7,748.97 × 3,258.14
  4. Step 4: Simplify right side
    5,616.45x = 25,247,190.37
  5. Step 5: Solve for x
    x = 25,247,190.37/5,616.45
  6. Step 6: Final answer
    x = 4,495.22

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1.5x scale

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.