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Finding the Fourth Proportional to 5,409.48, 7,464.87 and 3,019.44

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Solution

The fourth proportional to 5,409.48, 7,464.87 and 3,019.44 is: 4,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.48 : 7,464.87 = 3,019.44 : x
  2. Step 2: Convert to fraction form
    5,409.48/7,464.87 = 3,019.44/x
  3. Step 3: Cross multiply
    5,409.48x = 7,464.87 × 3,019.44
  4. Step 4: Simplify right side
    5,409.48x = 22,539,727.07
  5. Step 5: Solve for x
    x = 22,539,727.07/5,409.48
  6. Step 6: Final answer
    x = 4,166.71

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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.