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Finding the Fourth Proportional to 6,282.42, 8,671.02 and 3,629.46

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Solution

The fourth proportional to 6,282.42, 8,671.02 and 3,629.46 is: 5,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.42 : 8,671.02 = 3,629.46 : x
  2. Step 2: Convert to fraction form
    6,282.42/8,671.02 = 3,629.46/x
  3. Step 3: Cross multiply
    6,282.42x = 8,671.02 × 3,629.46
  4. Step 4: Simplify right side
    6,282.42x = 31,471,139.16
  5. Step 5: Solve for x
    x = 31,471,139.16/6,282.42
  6. Step 6: Final answer
    x = 5,009.40

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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.