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Finding the Fourth Proportional to 5,364.50, 7,402.41 and 3,006.30

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Solution

The fourth proportional to 5,364.50, 7,402.41 and 3,006.30 is: 4,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.50 : 7,402.41 = 3,006.30 : x
  2. Step 2: Convert to fraction form
    5,364.50/7,402.41 = 3,006.30/x
  3. Step 3: Cross multiply
    5,364.50x = 7,402.41 × 3,006.30
  4. Step 4: Simplify right side
    5,364.50x = 22,253,865.18
  5. Step 5: Solve for x
    x = 22,253,865.18/5,364.50
  6. Step 6: Final answer
    x = 4,148.36

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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.