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Finding the Fourth Proportional to 5,243.95, 7,867.29 and 1,957.07

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Solution

The fourth proportional to 5,243.95, 7,867.29 and 1,957.07 is: 2,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.95 : 7,867.29 = 1,957.07 : x
  2. Step 2: Convert to fraction form
    5,243.95/7,867.29 = 1,957.07/x
  3. Step 3: Cross multiply
    5,243.95x = 7,867.29 × 1,957.07
  4. Step 4: Simplify right side
    5,243.95x = 15,396,788.12
  5. Step 5: Solve for x
    x = 15,396,788.12/5,243.95
  6. Step 6: Final answer
    x = 2,936.11

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1.5x scale

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.