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Finding the Fourth Proportional to 3,724.84, 5,588.52 and 2,339.20

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Solution

The fourth proportional to 3,724.84, 5,588.52 and 2,339.20 is: 3,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.84 : 5,588.52 = 2,339.20 : x
  2. Step 2: Convert to fraction form
    3,724.84/5,588.52 = 2,339.20/x
  3. Step 3: Cross multiply
    3,724.84x = 5,588.52 × 2,339.20
  4. Step 4: Simplify right side
    3,724.84x = 13,072,665.98
  5. Step 5: Solve for x
    x = 13,072,665.98/3,724.84
  6. Step 6: Final answer
    x = 3,509.59

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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.