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Finding the Fourth Proportional to 5,201.43, 7,178.43 and 2,962.81

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Solution

The fourth proportional to 5,201.43, 7,178.43 and 2,962.81 is: 4,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.43 : 7,178.43 = 2,962.81 : x
  2. Step 2: Convert to fraction form
    5,201.43/7,178.43 = 2,962.81/x
  3. Step 3: Cross multiply
    5,201.43x = 7,178.43 × 2,962.81
  4. Step 4: Simplify right side
    5,201.43x = 21,268,324.19
  5. Step 5: Solve for x
    x = 21,268,324.19/5,201.43
  6. Step 6: Final answer
    x = 4,088.94

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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.