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Finding the Fourth Proportional to 4,163.81, 5,746.10 and 2,275.38

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Solution

The fourth proportional to 4,163.81, 5,746.10 and 2,275.38 is: 3,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.81 : 5,746.10 = 2,275.38 : x
  2. Step 2: Convert to fraction form
    4,163.81/5,746.10 = 2,275.38/x
  3. Step 3: Cross multiply
    4,163.81x = 5,746.10 × 2,275.38
  4. Step 4: Simplify right side
    4,163.81x = 13,074,549.64
  5. Step 5: Solve for x
    x = 13,074,549.64/4,163.81
  6. Step 6: Final answer
    x = 3,140.05

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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.