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Finding the Fourth Proportional to 3,899.65, 5,381.51 and 2,107.13

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Solution

The fourth proportional to 3,899.65, 5,381.51 and 2,107.13 is: 2,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.65 : 5,381.51 = 2,107.13 : x
  2. Step 2: Convert to fraction form
    3,899.65/5,381.51 = 2,107.13/x
  3. Step 3: Cross multiply
    3,899.65x = 5,381.51 × 2,107.13
  4. Step 4: Simplify right side
    3,899.65x = 11,339,541.17
  5. Step 5: Solve for x
    x = 11,339,541.17/3,899.65
  6. Step 6: Final answer
    x = 2,907.84

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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.