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Finding the Fourth Proportional to 5,753.63, 7,943.94 and 4,406.85

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Solution

The fourth proportional to 5,753.63, 7,943.94 and 4,406.85 is: 6,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.63 : 7,943.94 = 4,406.85 : x
  2. Step 2: Convert to fraction form
    5,753.63/7,943.94 = 4,406.85/x
  3. Step 3: Cross multiply
    5,753.63x = 7,943.94 × 4,406.85
  4. Step 4: Simplify right side
    5,753.63x = 35,007,751.99
  5. Step 5: Solve for x
    x = 35,007,751.99/5,753.63
  6. Step 6: Final answer
    x = 6,084.47

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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.