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Finding the Fourth Proportional to 5,409.14, 7,463.87 and 3,018.83

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Solution

The fourth proportional to 5,409.14, 7,463.87 and 3,018.83 is: 4,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.14 : 7,463.87 = 3,018.83 : x
  2. Step 2: Convert to fraction form
    5,409.14/7,463.87 = 3,018.83/x
  3. Step 3: Cross multiply
    5,409.14x = 7,463.87 × 3,018.83
  4. Step 4: Simplify right side
    5,409.14x = 22,532,102.26
  5. Step 5: Solve for x
    x = 22,532,102.26/5,409.14
  6. Step 6: Final answer
    x = 4,165.56

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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.