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Finding the Fourth Proportional to 4,706.37, 6,494.18 and 2,938.95

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Solution

The fourth proportional to 4,706.37, 6,494.18 and 2,938.95 is: 4,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.37 : 6,494.18 = 2,938.95 : x
  2. Step 2: Convert to fraction form
    4,706.37/6,494.18 = 2,938.95/x
  3. Step 3: Cross multiply
    4,706.37x = 6,494.18 × 2,938.95
  4. Step 4: Simplify right side
    4,706.37x = 19,086,055.62
  5. Step 5: Solve for x
    x = 19,086,055.62/4,706.37
  6. Step 6: Final answer
    x = 4,055.37

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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.