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Finding the Fourth Proportional to 6,276.35, 8,661.49 and 3,758.57

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Solution

The fourth proportional to 6,276.35, 8,661.49 and 3,758.57 is: 5,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.35 : 8,661.49 = 3,758.57 : x
  2. Step 2: Convert to fraction form
    6,276.35/8,661.49 = 3,758.57/x
  3. Step 3: Cross multiply
    6,276.35x = 8,661.49 × 3,758.57
  4. Step 4: Simplify right side
    6,276.35x = 32,554,816.47
  5. Step 5: Solve for x
    x = 32,554,816.47/6,276.35
  6. Step 6: Final answer
    x = 5,186.90

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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.