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Finding the Fourth Proportional to 5,048.50, 6,966.94 and 2,840.50

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Solution

The fourth proportional to 5,048.50, 6,966.94 and 2,840.50 is: 3,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.50 : 6,966.94 = 2,840.50 : x
  2. Step 2: Convert to fraction form
    5,048.50/6,966.94 = 2,840.50/x
  3. Step 3: Cross multiply
    5,048.50x = 6,966.94 × 2,840.50
  4. Step 4: Simplify right side
    5,048.50x = 19,789,593.07
  5. Step 5: Solve for x
    x = 19,789,593.07/5,048.50
  6. Step 6: Final answer
    x = 3,919.90

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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.