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Finding the Fourth Proportional to 4,639.74, 6,405.03 and 2,872.50

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Solution

The fourth proportional to 4,639.74, 6,405.03 and 2,872.50 is: 3,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.74 : 6,405.03 = 2,872.50 : x
  2. Step 2: Convert to fraction form
    4,639.74/6,405.03 = 2,872.50/x
  3. Step 3: Cross multiply
    4,639.74x = 6,405.03 × 2,872.50
  4. Step 4: Simplify right side
    4,639.74x = 18,398,448.68
  5. Step 5: Solve for x
    x = 18,398,448.68/4,639.74
  6. Step 6: Final answer
    x = 3,965.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.