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Finding the Fourth Proportional to 7,002.98, 9,664.05 and 3,859.16

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Solution

The fourth proportional to 7,002.98, 9,664.05 and 3,859.16 is: 5,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.98 : 9,664.05 = 3,859.16 : x
  2. Step 2: Convert to fraction form
    7,002.98/9,664.05 = 3,859.16/x
  3. Step 3: Cross multiply
    7,002.98x = 9,664.05 × 3,859.16
  4. Step 4: Simplify right side
    7,002.98x = 37,295,115.20
  5. Step 5: Solve for x
    x = 37,295,115.20/7,002.98
  6. Step 6: Final answer
    x = 5,325.61

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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.