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Finding the Fourth Proportional to 3,384.40, 5,073.36 and 1,652.08

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Solution

The fourth proportional to 3,384.40, 5,073.36 and 1,652.08 is: 2,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.40 : 5,073.36 = 1,652.08 : x
  2. Step 2: Convert to fraction form
    3,384.40/5,073.36 = 1,652.08/x
  3. Step 3: Cross multiply
    3,384.40x = 5,073.36 × 1,652.08
  4. Step 4: Simplify right side
    3,384.40x = 8,381,596.59
  5. Step 5: Solve for x
    x = 8,381,596.59/3,384.40
  6. Step 6: Final answer
    x = 2,476.54

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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.