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Finding the Fourth Proportional to 4,706.01, 6,497.11 and 2,940.01

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Solution

The fourth proportional to 4,706.01, 6,497.11 and 2,940.01 is: 4,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.01 : 6,497.11 = 2,940.01 : x
  2. Step 2: Convert to fraction form
    4,706.01/6,497.11 = 2,940.01/x
  3. Step 3: Cross multiply
    4,706.01x = 6,497.11 × 2,940.01
  4. Step 4: Simplify right side
    4,706.01x = 19,101,568.37
  5. Step 5: Solve for x
    x = 19,101,568.37/4,706.01
  6. Step 6: Final answer
    x = 4,058.97

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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.