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Finding the Fourth Proportional to 3,829.54, 5,697.68 and 3,816.58

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Solution

The fourth proportional to 3,829.54, 5,697.68 and 3,816.58 is: 5,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.54 : 5,697.68 = 3,816.58 : x
  2. Step 2: Convert to fraction form
    3,829.54/5,697.68 = 3,816.58/x
  3. Step 3: Cross multiply
    3,829.54x = 5,697.68 × 3,816.58
  4. Step 4: Simplify right side
    3,829.54x = 21,745,651.53
  5. Step 5: Solve for x
    x = 21,745,651.53/3,829.54
  6. Step 6: Final answer
    x = 5,678.40

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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.