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Finding the Fourth Proportional to 5,037.66, 7,553.04 and 2,567.70

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Solution

The fourth proportional to 5,037.66, 7,553.04 and 2,567.70 is: 3,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.66 : 7,553.04 = 2,567.70 : x
  2. Step 2: Convert to fraction form
    5,037.66/7,553.04 = 2,567.70/x
  3. Step 3: Cross multiply
    5,037.66x = 7,553.04 × 2,567.70
  4. Step 4: Simplify right side
    5,037.66x = 19,393,940.81
  5. Step 5: Solve for x
    x = 19,393,940.81/5,037.66
  6. Step 6: Final answer
    x = 3,849.79

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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.