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Finding the Fourth Proportional to 4,220.47, 6,328.88 and 1,447.41

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Solution

The fourth proportional to 4,220.47, 6,328.88 and 1,447.41 is: 2,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.47 : 6,328.88 = 1,447.41 : x
  2. Step 2: Convert to fraction form
    4,220.47/6,328.88 = 1,447.41/x
  3. Step 3: Cross multiply
    4,220.47x = 6,328.88 × 1,447.41
  4. Step 4: Simplify right side
    4,220.47x = 9,160,484.20
  5. Step 5: Solve for x
    x = 9,160,484.20/4,220.47
  6. Step 6: Final answer
    x = 2,170.49

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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.