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Finding the Fourth Proportional to 4,870.21, 6,721.89 and 2,882.06

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Solution

The fourth proportional to 4,870.21, 6,721.89 and 2,882.06 is: 3,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.21 : 6,721.89 = 2,882.06 : x
  2. Step 2: Convert to fraction form
    4,870.21/6,721.89 = 2,882.06/x
  3. Step 3: Cross multiply
    4,870.21x = 6,721.89 × 2,882.06
  4. Step 4: Simplify right side
    4,870.21x = 19,372,890.29
  5. Step 5: Solve for x
    x = 19,372,890.29/4,870.21
  6. Step 6: Final answer
    x = 3,977.84

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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.