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Finding the Fourth Proportional to 3,834.64, 5,751.41 and 1,061.51

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Solution

The fourth proportional to 3,834.64, 5,751.41 and 1,061.51 is: 1,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.64 : 5,751.41 = 1,061.51 : x
  2. Step 2: Convert to fraction form
    3,834.64/5,751.41 = 1,061.51/x
  3. Step 3: Cross multiply
    3,834.64x = 5,751.41 × 1,061.51
  4. Step 4: Simplify right side
    3,834.64x = 6,105,145.16
  5. Step 5: Solve for x
    x = 6,105,145.16/3,834.64
  6. Step 6: Final answer
    x = 1,592.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.