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Finding the Fourth Proportional to 5,057.44, 6,974.16 and 3,485.92

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Solution

The fourth proportional to 5,057.44, 6,974.16 and 3,485.92 is: 4,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.44 : 6,974.16 = 3,485.92 : x
  2. Step 2: Convert to fraction form
    5,057.44/6,974.16 = 3,485.92/x
  3. Step 3: Cross multiply
    5,057.44x = 6,974.16 × 3,485.92
  4. Step 4: Simplify right side
    5,057.44x = 24,311,363.83
  5. Step 5: Solve for x
    x = 24,311,363.83/5,057.44
  6. Step 6: Final answer
    x = 4,807.05

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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.