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Finding the Fourth Proportional to 3,673.95, 5,509.22 and 1,333.66

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Solution

The fourth proportional to 3,673.95, 5,509.22 and 1,333.66 is: 1,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.95 : 5,509.22 = 1,333.66 : x
  2. Step 2: Convert to fraction form
    3,673.95/5,509.22 = 1,333.66/x
  3. Step 3: Cross multiply
    3,673.95x = 5,509.22 × 1,333.66
  4. Step 4: Simplify right side
    3,673.95x = 7,347,426.35
  5. Step 5: Solve for x
    x = 7,347,426.35/3,673.95
  6. Step 6: Final answer
    x = 1,999.87

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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.