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Finding the Fourth Proportional to 5,894.28, 8,134.16 and 3,241.70

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Solution

The fourth proportional to 5,894.28, 8,134.16 and 3,241.70 is: 4,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.28 : 8,134.16 = 3,241.70 : x
  2. Step 2: Convert to fraction form
    5,894.28/8,134.16 = 3,241.70/x
  3. Step 3: Cross multiply
    5,894.28x = 8,134.16 × 3,241.70
  4. Step 4: Simplify right side
    5,894.28x = 26,368,506.47
  5. Step 5: Solve for x
    x = 26,368,506.47/5,894.28
  6. Step 6: Final answer
    x = 4,473.58

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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.