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Finding the Fourth Proportional to 4,286.76, 6,434.10 and 2,646.51

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Solution

The fourth proportional to 4,286.76, 6,434.10 and 2,646.51 is: 3,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.76 : 6,434.10 = 2,646.51 : x
  2. Step 2: Convert to fraction form
    4,286.76/6,434.10 = 2,646.51/x
  3. Step 3: Cross multiply
    4,286.76x = 6,434.10 × 2,646.51
  4. Step 4: Simplify right side
    4,286.76x = 17,027,909.99
  5. Step 5: Solve for x
    x = 17,027,909.99/4,286.76
  6. Step 6: Final answer
    x = 3,972.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.