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Finding the Fourth Proportional to 6,356.78, 8,772.42 and 3,705.80

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Solution

The fourth proportional to 6,356.78, 8,772.42 and 3,705.80 is: 5,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.78 : 8,772.42 = 3,705.80 : x
  2. Step 2: Convert to fraction form
    6,356.78/8,772.42 = 3,705.80/x
  3. Step 3: Cross multiply
    6,356.78x = 8,772.42 × 3,705.80
  4. Step 4: Simplify right side
    6,356.78x = 32,508,834.04
  5. Step 5: Solve for x
    x = 32,508,834.04/6,356.78
  6. Step 6: Final answer
    x = 5,114.04

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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.