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Finding the Fourth Proportional to 5,146.03, 7,722 and 2,184.24

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Solution

The fourth proportional to 5,146.03, 7,722 and 2,184.24 is: 3,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.03 : 7,722 = 2,184.24 : x
  2. Step 2: Convert to fraction form
    5,146.03/7,722 = 2,184.24/x
  3. Step 3: Cross multiply
    5,146.03x = 7,722 × 2,184.24
  4. Step 4: Simplify right side
    5,146.03x = 16,866,701.28
  5. Step 5: Solve for x
    x = 16,866,701.28/5,146.03
  6. Step 6: Final answer
    x = 3,277.61

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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.