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Finding the Fourth Proportional to 6,218.40, 9,320.04 and 3,874.80

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Solution

The fourth proportional to 6,218.40, 9,320.04 and 3,874.80 is: 5,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.40 : 9,320.04 = 3,874.80 : x
  2. Step 2: Convert to fraction form
    6,218.40/9,320.04 = 3,874.80/x
  3. Step 3: Cross multiply
    6,218.40x = 9,320.04 × 3,874.80
  4. Step 4: Simplify right side
    6,218.40x = 36,113,290.99
  5. Step 5: Solve for x
    x = 36,113,290.99/6,218.40
  6. Step 6: Final answer
    x = 5,807.49

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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.