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Finding the Fourth Proportional to 5,106.88, 7,049.94 and 3,970

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Solution

The fourth proportional to 5,106.88, 7,049.94 and 3,970 is: 5,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.88 : 7,049.94 = 3,970 : x
  2. Step 2: Convert to fraction form
    5,106.88/7,049.94 = 3,970/x
  3. Step 3: Cross multiply
    5,106.88x = 7,049.94 × 3,970
  4. Step 4: Simplify right side
    5,106.88x = 27,988,261.80
  5. Step 5: Solve for x
    x = 27,988,261.80/5,106.88
  6. Step 6: Final answer
    x = 5,480.50

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