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Finding the Fourth Proportional to 3,384.02, 5,072.95 and 1,302.69

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Solution

The fourth proportional to 3,384.02, 5,072.95 and 1,302.69 is: 1,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.02 : 5,072.95 = 1,302.69 : x
  2. Step 2: Convert to fraction form
    3,384.02/5,072.95 = 1,302.69/x
  3. Step 3: Cross multiply
    3,384.02x = 5,072.95 × 1,302.69
  4. Step 4: Simplify right side
    3,384.02x = 6,608,481.24
  5. Step 5: Solve for x
    x = 6,608,481.24/3,384.02
  6. Step 6: Final answer
    x = 1,952.85

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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.