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Finding the Fourth Proportional to 4,706.06, 6,502.82 and 3,377.44

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Solution

The fourth proportional to 4,706.06, 6,502.82 and 3,377.44 is: 4,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.06 : 6,502.82 = 3,377.44 : x
  2. Step 2: Convert to fraction form
    4,706.06/6,502.82 = 3,377.44/x
  3. Step 3: Cross multiply
    4,706.06x = 6,502.82 × 3,377.44
  4. Step 4: Simplify right side
    4,706.06x = 21,962,884.38
  5. Step 5: Solve for x
    x = 21,962,884.38/4,706.06
  6. Step 6: Final answer
    x = 4,666.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.