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Finding the Fourth Proportional to 5,372.38, 7,409.46 and 3,784.27

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Solution

The fourth proportional to 5,372.38, 7,409.46 and 3,784.27 is: 5,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.38 : 7,409.46 = 3,784.27 : x
  2. Step 2: Convert to fraction form
    5,372.38/7,409.46 = 3,784.27/x
  3. Step 3: Cross multiply
    5,372.38x = 7,409.46 × 3,784.27
  4. Step 4: Simplify right side
    5,372.38x = 28,039,397.19
  5. Step 5: Solve for x
    x = 28,039,397.19/5,372.38
  6. Step 6: Final answer
    x = 5,219.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.