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Finding the Fourth Proportional to 5,369.34, 7,409.85 and 3,011.43

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Solution

The fourth proportional to 5,369.34, 7,409.85 and 3,011.43 is: 4,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.34 : 7,409.85 = 3,011.43 : x
  2. Step 2: Convert to fraction form
    5,369.34/7,409.85 = 3,011.43/x
  3. Step 3: Cross multiply
    5,369.34x = 7,409.85 × 3,011.43
  4. Step 4: Simplify right side
    5,369.34x = 22,314,244.59
  5. Step 5: Solve for x
    x = 22,314,244.59/5,369.34
  6. Step 6: Final answer
    x = 4,155.86

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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.