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Finding the Fourth Proportional to 5,661.24, 7,812.89 and 3,271.68

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Solution

The fourth proportional to 5,661.24, 7,812.89 and 3,271.68 is: 4,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.24 : 7,812.89 = 3,271.68 : x
  2. Step 2: Convert to fraction form
    5,661.24/7,812.89 = 3,271.68/x
  3. Step 3: Cross multiply
    5,661.24x = 7,812.89 × 3,271.68
  4. Step 4: Simplify right side
    5,661.24x = 25,561,275.96
  5. Step 5: Solve for x
    x = 25,561,275.96/5,661.24
  6. Step 6: Final answer
    x = 4,515.14

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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.