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Finding the Fourth Proportional to 5,906.61, 8,151 and 3,254.00

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Solution

The fourth proportional to 5,906.61, 8,151 and 3,254.00 is: 4,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.61 : 8,151 = 3,254.00 : x
  2. Step 2: Convert to fraction form
    5,906.61/8,151 = 3,254.00/x
  3. Step 3: Cross multiply
    5,906.61x = 8,151 × 3,254.00
  4. Step 4: Simplify right side
    5,906.61x = 26,523,313.25
  5. Step 5: Solve for x
    x = 26,523,313.25/5,906.61
  6. Step 6: Final answer
    x = 4,490.45

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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.