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Finding the Fourth Proportional to 6,291.71, 8,682.54 and 3,497.21

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Solution

The fourth proportional to 6,291.71, 8,682.54 and 3,497.21 is: 4,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.71 : 8,682.54 = 3,497.21 : x
  2. Step 2: Convert to fraction form
    6,291.71/8,682.54 = 3,497.21/x
  3. Step 3: Cross multiply
    6,291.71x = 8,682.54 × 3,497.21
  4. Step 4: Simplify right side
    6,291.71x = 30,364,665.71
  5. Step 5: Solve for x
    x = 30,364,665.71/6,291.71
  6. Step 6: Final answer
    x = 4,826.14

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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.