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Finding the Fourth Proportional to 4,955.76, 6,839.08 and 2,860

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Solution

The fourth proportional to 4,955.76, 6,839.08 and 2,860 is: 3,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.76 : 6,839.08 = 2,860 : x
  2. Step 2: Convert to fraction form
    4,955.76/6,839.08 = 2,860/x
  3. Step 3: Cross multiply
    4,955.76x = 6,839.08 × 2,860
  4. Step 4: Simplify right side
    4,955.76x = 19,559,768.80
  5. Step 5: Solve for x
    x = 19,559,768.80/4,955.76
  6. Step 6: Final answer
    x = 3,946.88

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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.