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Finding the Fourth Proportional to 4,476.63, 6,719.13 and 2,286.93

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Solution

The fourth proportional to 4,476.63, 6,719.13 and 2,286.93 is: 3,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.63 : 6,719.13 = 2,286.93 : x
  2. Step 2: Convert to fraction form
    4,476.63/6,719.13 = 2,286.93/x
  3. Step 3: Cross multiply
    4,476.63x = 6,719.13 × 2,286.93
  4. Step 4: Simplify right side
    4,476.63x = 15,366,179.97
  5. Step 5: Solve for x
    x = 15,366,179.97/4,476.63
  6. Step 6: Final answer
    x = 3,432.53

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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.