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Finding the Fourth Proportional to 5,205.84, 7,816.65 and 5,037.56

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Solution

The fourth proportional to 5,205.84, 7,816.65 and 5,037.56 is: 7,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.84 : 7,816.65 = 5,037.56 : x
  2. Step 2: Convert to fraction form
    5,205.84/7,816.65 = 5,037.56/x
  3. Step 3: Cross multiply
    5,205.84x = 7,816.65 × 5,037.56
  4. Step 4: Simplify right side
    5,205.84x = 39,376,843.37
  5. Step 5: Solve for x
    x = 39,376,843.37/5,205.84
  6. Step 6: Final answer
    x = 7,563.97

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