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Finding the Fourth Proportional to 4,478.16, 6,717.76 and 2,168

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Solution

The fourth proportional to 4,478.16, 6,717.76 and 2,168 is: 3,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.16 : 6,717.76 = 2,168 : x
  2. Step 2: Convert to fraction form
    4,478.16/6,717.76 = 2,168/x
  3. Step 3: Cross multiply
    4,478.16x = 6,717.76 × 2,168
  4. Step 4: Simplify right side
    4,478.16x = 14,564,103.68
  5. Step 5: Solve for x
    x = 14,564,103.68/4,478.16
  6. Step 6: Final answer
    x = 3,252.25

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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.