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Finding the Fourth Proportional to 5,084.70, 7,624.70 and 2,311.26

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Solution

The fourth proportional to 5,084.70, 7,624.70 and 2,311.26 is: 3,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.70 : 7,624.70 = 2,311.26 : x
  2. Step 2: Convert to fraction form
    5,084.70/7,624.70 = 2,311.26/x
  3. Step 3: Cross multiply
    5,084.70x = 7,624.70 × 2,311.26
  4. Step 4: Simplify right side
    5,084.70x = 17,622,664.12
  5. Step 5: Solve for x
    x = 17,622,664.12/5,084.70
  6. Step 6: Final answer
    x = 3,465.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.