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Finding the Fourth Proportional to 4,217.64, 6,298.44 and 4,171.84

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Solution

The fourth proportional to 4,217.64, 6,298.44 and 4,171.84 is: 6,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.64 : 6,298.44 = 4,171.84 : x
  2. Step 2: Convert to fraction form
    4,217.64/6,298.44 = 4,171.84/x
  3. Step 3: Cross multiply
    4,217.64x = 6,298.44 × 4,171.84
  4. Step 4: Simplify right side
    4,217.64x = 26,276,083.93
  5. Step 5: Solve for x
    x = 26,276,083.93/4,217.64
  6. Step 6: Final answer
    x = 6,230.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.