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Finding the Fourth Proportional to 5,674.44, 7,834.50 and 3,553.16

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Solution

The fourth proportional to 5,674.44, 7,834.50 and 3,553.16 is: 4,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.44 : 7,834.50 = 3,553.16 : x
  2. Step 2: Convert to fraction form
    5,674.44/7,834.50 = 3,553.16/x
  3. Step 3: Cross multiply
    5,674.44x = 7,834.50 × 3,553.16
  4. Step 4: Simplify right side
    5,674.44x = 27,837,232.02
  5. Step 5: Solve for x
    x = 27,837,232.02/5,674.44
  6. Step 6: Final answer
    x = 4,905.72

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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.