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Finding the Fourth Proportional to 5,093.84, 7,640.96 and 1,395.96

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Solution

The fourth proportional to 5,093.84, 7,640.96 and 1,395.96 is: 2,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.84 : 7,640.96 = 1,395.96 : x
  2. Step 2: Convert to fraction form
    5,093.84/7,640.96 = 1,395.96/x
  3. Step 3: Cross multiply
    5,093.84x = 7,640.96 × 1,395.96
  4. Step 4: Simplify right side
    5,093.84x = 10,666,474.52
  5. Step 5: Solve for x
    x = 10,666,474.52/5,093.84
  6. Step 6: Final answer
    x = 2,093.99

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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.