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Finding the Fourth Proportional to 3,814.54, 5,724.38 and 1,349.35

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Solution

The fourth proportional to 3,814.54, 5,724.38 and 1,349.35 is: 2,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.54 : 5,724.38 = 1,349.35 : x
  2. Step 2: Convert to fraction form
    3,814.54/5,724.38 = 1,349.35/x
  3. Step 3: Cross multiply
    3,814.54x = 5,724.38 × 1,349.35
  4. Step 4: Simplify right side
    3,814.54x = 7,724,185.41
  5. Step 5: Solve for x
    x = 7,724,185.41/3,814.54
  6. Step 6: Final answer
    x = 2,024.93

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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.