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Finding the Fourth Proportional to 4,319.84, 6,447.69 and 3,724.31

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Solution

The fourth proportional to 4,319.84, 6,447.69 and 3,724.31 is: 5,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.84 : 6,447.69 = 3,724.31 : x
  2. Step 2: Convert to fraction form
    4,319.84/6,447.69 = 3,724.31/x
  3. Step 3: Cross multiply
    4,319.84x = 6,447.69 × 3,724.31
  4. Step 4: Simplify right side
    4,319.84x = 24,013,164.11
  5. Step 5: Solve for x
    x = 24,013,164.11/4,319.84
  6. Step 6: Final answer
    x = 5,558.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.