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Finding the Fourth Proportional to 6,356.60, 8,769.20 and 4,119.20

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Solution

The fourth proportional to 6,356.60, 8,769.20 and 4,119.20 is: 5,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.60 : 8,769.20 = 4,119.20 : x
  2. Step 2: Convert to fraction form
    6,356.60/8,769.20 = 4,119.20/x
  3. Step 3: Cross multiply
    6,356.60x = 8,769.20 × 4,119.20
  4. Step 4: Simplify right side
    6,356.60x = 36,122,088.64
  5. Step 5: Solve for x
    x = 36,122,088.64/6,356.60
  6. Step 6: Final answer
    x = 5,682.61

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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.