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Finding the Fourth Proportional to 6,282.60, 8,671.44 and 4,158.54

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Solution

The fourth proportional to 6,282.60, 8,671.44 and 4,158.54 is: 5,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.60 : 8,671.44 = 4,158.54 : x
  2. Step 2: Convert to fraction form
    6,282.60/8,671.44 = 4,158.54/x
  3. Step 3: Cross multiply
    6,282.60x = 8,671.44 × 4,158.54
  4. Step 4: Simplify right side
    6,282.60x = 36,060,530.10
  5. Step 5: Solve for x
    x = 36,060,530.10/6,282.60
  6. Step 6: Final answer
    x = 5,739.75

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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.