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Finding the Fourth Proportional to 4,954.12, 6,836.70 and 2,859.46

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Solution

The fourth proportional to 4,954.12, 6,836.70 and 2,859.46 is: 3,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.12 : 6,836.70 = 2,859.46 : x
  2. Step 2: Convert to fraction form
    4,954.12/6,836.70 = 2,859.46/x
  3. Step 3: Cross multiply
    4,954.12x = 6,836.70 × 2,859.46
  4. Step 4: Simplify right side
    4,954.12x = 19,549,270.18
  5. Step 5: Solve for x
    x = 19,549,270.18/4,954.12
  6. Step 6: Final answer
    x = 3,946.06

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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.