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Finding the Fourth Proportional to 6,276.60, 8,659.40 and 3,758.76

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Solution

The fourth proportional to 6,276.60, 8,659.40 and 3,758.76 is: 5,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.60 : 8,659.40 = 3,758.76 : x
  2. Step 2: Convert to fraction form
    6,276.60/8,659.40 = 3,758.76/x
  3. Step 3: Cross multiply
    6,276.60x = 8,659.40 × 3,758.76
  4. Step 4: Simplify right side
    6,276.60x = 32,548,606.34
  5. Step 5: Solve for x
    x = 32,548,606.34/6,276.60
  6. Step 6: Final answer
    x = 5,185.71

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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.