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Finding the Fourth Proportional to 5,816.53, 8,024.25 and 3,458.17

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Solution

The fourth proportional to 5,816.53, 8,024.25 and 3,458.17 is: 4,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.53 : 8,024.25 = 3,458.17 : x
  2. Step 2: Convert to fraction form
    5,816.53/8,024.25 = 3,458.17/x
  3. Step 3: Cross multiply
    5,816.53x = 8,024.25 × 3,458.17
  4. Step 4: Simplify right side
    5,816.53x = 27,749,220.62
  5. Step 5: Solve for x
    x = 27,749,220.62/5,816.53
  6. Step 6: Final answer
    x = 4,770.75

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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.