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Finding the Fourth Proportional to 6,292.02, 8,682.75 and 3,497.70

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Solution

The fourth proportional to 6,292.02, 8,682.75 and 3,497.70 is: 4,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.02 : 8,682.75 = 3,497.70 : x
  2. Step 2: Convert to fraction form
    6,292.02/8,682.75 = 3,497.70/x
  3. Step 3: Cross multiply
    6,292.02x = 8,682.75 × 3,497.70
  4. Step 4: Simplify right side
    6,292.02x = 30,369,654.68
  5. Step 5: Solve for x
    x = 30,369,654.68/6,292.02
  6. Step 6: Final answer
    x = 4,826.69

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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.