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Finding the Fourth Proportional to 3,758.40, 5,184 and 3,094.20

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Solution

The fourth proportional to 3,758.40, 5,184 and 3,094.20 is: 4,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.40 : 5,184 = 3,094.20 : x
  2. Step 2: Convert to fraction form
    3,758.40/5,184 = 3,094.20/x
  3. Step 3: Cross multiply
    3,758.40x = 5,184 × 3,094.20
  4. Step 4: Simplify right side
    3,758.40x = 16,040,332.80
  5. Step 5: Solve for x
    x = 16,040,332.80/3,758.40
  6. Step 6: Final answer
    x = 4,267.86

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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.