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Finding the Fourth Proportional to 6,355.65, 8,768.70 and 3,836.81

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Solution

The fourth proportional to 6,355.65, 8,768.70 and 3,836.81 is: 5,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.65 : 8,768.70 = 3,836.81 : x
  2. Step 2: Convert to fraction form
    6,355.65/8,768.70 = 3,836.81/x
  3. Step 3: Cross multiply
    6,355.65x = 8,768.70 × 3,836.81
  4. Step 4: Simplify right side
    6,355.65x = 33,643,792.00
  5. Step 5: Solve for x
    x = 33,643,792.00/6,355.65
  6. Step 6: Final answer
    x = 5,293.52

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Why These Related Problems?

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