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Finding the Fourth Proportional to 6,178.42, 8,526.09 and 3,787.57

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Solution

The fourth proportional to 6,178.42, 8,526.09 and 3,787.57 is: 5,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.42 : 8,526.09 = 3,787.57 : x
  2. Step 2: Convert to fraction form
    6,178.42/8,526.09 = 3,787.57/x
  3. Step 3: Cross multiply
    6,178.42x = 8,526.09 × 3,787.57
  4. Step 4: Simplify right side
    6,178.42x = 32,293,162.70
  5. Step 5: Solve for x
    x = 32,293,162.70/6,178.42
  6. Step 6: Final answer
    x = 5,226.77

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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.