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Finding the Fourth Proportional to 4,466, 6,706.56 and 2,908.64

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Solution

The fourth proportional to 4,466, 6,706.56 and 2,908.64 is: 4,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466 : 6,706.56 = 2,908.64 : x
  2. Step 2: Convert to fraction form
    4,466/6,706.56 = 2,908.64/x
  3. Step 3: Cross multiply
    4,466x = 6,706.56 × 2,908.64
  4. Step 4: Simplify right side
    4,466x = 19,506,968.68
  5. Step 5: Solve for x
    x = 19,506,968.68/4,466
  6. Step 6: Final answer
    x = 4,367.88

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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.