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Finding the Fourth Proportional to 5,046.98, 6,964.46 and 2,808.76

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Solution

The fourth proportional to 5,046.98, 6,964.46 and 2,808.76 is: 3,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.98 : 6,964.46 = 2,808.76 : x
  2. Step 2: Convert to fraction form
    5,046.98/6,964.46 = 2,808.76/x
  3. Step 3: Cross multiply
    5,046.98x = 6,964.46 × 2,808.76
  4. Step 4: Simplify right side
    5,046.98x = 19,561,496.67
  5. Step 5: Solve for x
    x = 19,561,496.67/5,046.98
  6. Step 6: Final answer
    x = 3,875.88

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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.