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Finding the Fourth Proportional to 3,411.53, 4,707.89 and 1,899.11

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Solution

The fourth proportional to 3,411.53, 4,707.89 and 1,899.11 is: 2,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.53 : 4,707.89 = 1,899.11 : x
  2. Step 2: Convert to fraction form
    3,411.53/4,707.89 = 1,899.11/x
  3. Step 3: Cross multiply
    3,411.53x = 4,707.89 × 1,899.11
  4. Step 4: Simplify right side
    3,411.53x = 8,940,767.94
  5. Step 5: Solve for x
    x = 8,940,767.94/3,411.53
  6. Step 6: Final answer
    x = 2,620.75

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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.