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Finding the Fourth Proportional to 3,673.67, 5,497.71 and 3,007.85

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Solution

The fourth proportional to 3,673.67, 5,497.71 and 3,007.85 is: 4,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.67 : 5,497.71 = 3,007.85 : x
  2. Step 2: Convert to fraction form
    3,673.67/5,497.71 = 3,007.85/x
  3. Step 3: Cross multiply
    3,673.67x = 5,497.71 × 3,007.85
  4. Step 4: Simplify right side
    3,673.67x = 16,536,259.53
  5. Step 5: Solve for x
    x = 16,536,259.53/3,673.67
  6. Step 6: Final answer
    x = 4,501.30

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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.