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Finding the Fourth Proportional to 3,970.77, 5,474.52 and 3,084.99

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Solution

The fourth proportional to 3,970.77, 5,474.52 and 3,084.99 is: 4,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.77 : 5,474.52 = 3,084.99 : x
  2. Step 2: Convert to fraction form
    3,970.77/5,474.52 = 3,084.99/x
  3. Step 3: Cross multiply
    3,970.77x = 5,474.52 × 3,084.99
  4. Step 4: Simplify right side
    3,970.77x = 16,888,839.45
  5. Step 5: Solve for x
    x = 16,888,839.45/3,970.77
  6. Step 6: Final answer
    x = 4,253.29

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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.