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Finding the Fourth Proportional to 4,600.04, 6,899.34 and 2,002.28

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Solution

The fourth proportional to 4,600.04, 6,899.34 and 2,002.28 is: 3,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.04 : 6,899.34 = 2,002.28 : x
  2. Step 2: Convert to fraction form
    4,600.04/6,899.34 = 2,002.28/x
  3. Step 3: Cross multiply
    4,600.04x = 6,899.34 × 2,002.28
  4. Step 4: Simplify right side
    4,600.04x = 13,814,410.50
  5. Step 5: Solve for x
    x = 13,814,410.50/4,600.04
  6. Step 6: Final answer
    x = 3,003.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.