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Finding the Fourth Proportional to 5,057.86, 6,983.21 and 3,266.14

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Solution

The fourth proportional to 5,057.86, 6,983.21 and 3,266.14 is: 4,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.86 : 6,983.21 = 3,266.14 : x
  2. Step 2: Convert to fraction form
    5,057.86/6,983.21 = 3,266.14/x
  3. Step 3: Cross multiply
    5,057.86x = 6,983.21 × 3,266.14
  4. Step 4: Simplify right side
    5,057.86x = 22,808,125.18
  5. Step 5: Solve for x
    x = 22,808,125.18/5,057.86
  6. Step 6: Final answer
    x = 4,509.44

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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.