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Finding the Fourth Proportional to 4,817, 6,645.22 and 3,420.52

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Solution

The fourth proportional to 4,817, 6,645.22 and 3,420.52 is: 4,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817 : 6,645.22 = 3,420.52 : x
  2. Step 2: Convert to fraction form
    4,817/6,645.22 = 3,420.52/x
  3. Step 3: Cross multiply
    4,817x = 6,645.22 × 3,420.52
  4. Step 4: Simplify right side
    4,817x = 22,730,107.91
  5. Step 5: Solve for x
    x = 22,730,107.91/4,817
  6. Step 6: Final answer
    x = 4,718.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.