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Finding the Fourth Proportional to 3,751.56, 5,626.13 and 1,411.47

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Solution

The fourth proportional to 3,751.56, 5,626.13 and 1,411.47 is: 2,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.56 : 5,626.13 = 1,411.47 : x
  2. Step 2: Convert to fraction form
    3,751.56/5,626.13 = 1,411.47/x
  3. Step 3: Cross multiply
    3,751.56x = 5,626.13 × 1,411.47
  4. Step 4: Simplify right side
    3,751.56x = 7,941,106.65
  5. Step 5: Solve for x
    x = 7,941,106.65/3,751.56
  6. Step 6: Final answer
    x = 2,116.75

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Why These Related Problems?

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