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Finding the Fourth Proportional to 3,673.30, 5,509.95 and 3,022.66

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Solution

The fourth proportional to 3,673.30, 5,509.95 and 3,022.66 is: 4,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.30 : 5,509.95 = 3,022.66 : x
  2. Step 2: Convert to fraction form
    3,673.30/5,509.95 = 3,022.66/x
  3. Step 3: Cross multiply
    3,673.30x = 5,509.95 × 3,022.66
  4. Step 4: Simplify right side
    3,673.30x = 16,654,705.47
  5. Step 5: Solve for x
    x = 16,654,705.47/3,673.30
  6. Step 6: Final answer
    x = 4,533.99

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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.