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Finding the Fourth Proportional to 5,906.16, 8,154 and 5,250.12

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Solution

The fourth proportional to 5,906.16, 8,154 and 5,250.12 is: 7,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.16 : 8,154 = 5,250.12 : x
  2. Step 2: Convert to fraction form
    5,906.16/8,154 = 5,250.12/x
  3. Step 3: Cross multiply
    5,906.16x = 8,154 × 5,250.12
  4. Step 4: Simplify right side
    5,906.16x = 42,809,478.48
  5. Step 5: Solve for x
    x = 42,809,478.48/5,906.16
  6. Step 6: Final answer
    x = 7,248.28

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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.