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Finding the Fourth Proportional to 6,433.92, 8,878.98 and 3,639.48

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Solution

The fourth proportional to 6,433.92, 8,878.98 and 3,639.48 is: 5,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.92 : 8,878.98 = 3,639.48 : x
  2. Step 2: Convert to fraction form
    6,433.92/8,878.98 = 3,639.48/x
  3. Step 3: Cross multiply
    6,433.92x = 8,878.98 × 3,639.48
  4. Step 4: Simplify right side
    6,433.92x = 32,314,870.13
  5. Step 5: Solve for x
    x = 32,314,870.13/6,433.92
  6. Step 6: Final answer
    x = 5,022.58

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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.