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Finding the Fourth Proportional to 5,364.56, 7,402.38 and 3,006.74

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Solution

The fourth proportional to 5,364.56, 7,402.38 and 3,006.74 is: 4,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.56 : 7,402.38 = 3,006.74 : x
  2. Step 2: Convert to fraction form
    5,364.56/7,402.38 = 3,006.74/x
  3. Step 3: Cross multiply
    5,364.56x = 7,402.38 × 3,006.74
  4. Step 4: Simplify right side
    5,364.56x = 22,257,032.04
  5. Step 5: Solve for x
    x = 22,257,032.04/5,364.56
  6. Step 6: Final answer
    x = 4,148.90

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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.