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Finding the Fourth Proportional to 4,370.78, 6,552.02 and 1,447.50

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Solution

The fourth proportional to 4,370.78, 6,552.02 and 1,447.50 is: 2,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370.78 : 6,552.02 = 1,447.50 : x
  2. Step 2: Convert to fraction form
    4,370.78/6,552.02 = 1,447.50/x
  3. Step 3: Cross multiply
    4,370.78x = 6,552.02 × 1,447.50
  4. Step 4: Simplify right side
    4,370.78x = 9,484,048.95
  5. Step 5: Solve for x
    x = 9,484,048.95/4,370.78
  6. Step 6: Final answer
    x = 2,169.88

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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.