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Finding the Fourth Proportional to 5,395.84, 8,093.86 and 1,500.24

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Solution

The fourth proportional to 5,395.84, 8,093.86 and 1,500.24 is: 2,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.84 : 8,093.86 = 1,500.24 : x
  2. Step 2: Convert to fraction form
    5,395.84/8,093.86 = 1,500.24/x
  3. Step 3: Cross multiply
    5,395.84x = 8,093.86 × 1,500.24
  4. Step 4: Simplify right side
    5,395.84x = 12,142,732.53
  5. Step 5: Solve for x
    x = 12,142,732.53/5,395.84
  6. Step 6: Final answer
    x = 2,250.39

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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.