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Finding the Fourth Proportional to 4,468.40, 6,166.40 and 2,478.97

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Solution

The fourth proportional to 4,468.40, 6,166.40 and 2,478.97 is: 3,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.40 : 6,166.40 = 2,478.97 : x
  2. Step 2: Convert to fraction form
    4,468.40/6,166.40 = 2,478.97/x
  3. Step 3: Cross multiply
    4,468.40x = 6,166.40 × 2,478.97
  4. Step 4: Simplify right side
    4,468.40x = 15,286,315.92
  5. Step 5: Solve for x
    x = 15,286,315.92/4,468.40
  6. Step 6: Final answer
    x = 3,420.98

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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.