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Finding the Fourth Proportional to 4,163.65, 5,746.07 and 2,275.41

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Solution

The fourth proportional to 4,163.65, 5,746.07 and 2,275.41 is: 3,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.65 : 5,746.07 = 2,275.41 : x
  2. Step 2: Convert to fraction form
    4,163.65/5,746.07 = 2,275.41/x
  3. Step 3: Cross multiply
    4,163.65x = 5,746.07 × 2,275.41
  4. Step 4: Simplify right side
    4,163.65x = 13,074,625.03
  5. Step 5: Solve for x
    x = 13,074,625.03/4,163.65
  6. Step 6: Final answer
    x = 3,140.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.