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Finding the Fourth Proportional to 6,088.98, 8,402.81 and 3,294.48

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Solution

The fourth proportional to 6,088.98, 8,402.81 and 3,294.48 is: 4,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.98 : 8,402.81 = 3,294.48 : x
  2. Step 2: Convert to fraction form
    6,088.98/8,402.81 = 3,294.48/x
  3. Step 3: Cross multiply
    6,088.98x = 8,402.81 × 3,294.48
  4. Step 4: Simplify right side
    6,088.98x = 27,682,873.02
  5. Step 5: Solve for x
    x = 27,682,873.02/6,088.98
  6. Step 6: Final answer
    x = 4,546.39

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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.