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Finding the Fourth Proportional to 4,468.20, 6,700.12 and 1,347.63

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Solution

The fourth proportional to 4,468.20, 6,700.12 and 1,347.63 is: 2,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.20 : 6,700.12 = 1,347.63 : x
  2. Step 2: Convert to fraction form
    4,468.20/6,700.12 = 1,347.63/x
  3. Step 3: Cross multiply
    4,468.20x = 6,700.12 × 1,347.63
  4. Step 4: Simplify right side
    4,468.20x = 9,029,282.72
  5. Step 5: Solve for x
    x = 9,029,282.72/4,468.20
  6. Step 6: Final answer
    x = 2,020.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.