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Finding the Fourth Proportional to 5,244.19, 7,237 and 3,006.20

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Solution

The fourth proportional to 5,244.19, 7,237 and 3,006.20 is: 4,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.19 : 7,237 = 3,006.20 : x
  2. Step 2: Convert to fraction form
    5,244.19/7,237 = 3,006.20/x
  3. Step 3: Cross multiply
    5,244.19x = 7,237 × 3,006.20
  4. Step 4: Simplify right side
    5,244.19x = 21,755,869.40
  5. Step 5: Solve for x
    x = 21,755,869.40/5,244.19
  6. Step 6: Final answer
    x = 4,148.57

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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.