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Finding the Fourth Proportional to 6,584.49, 9,038.22 and 5,821.74

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Solution

The fourth proportional to 6,584.49, 9,038.22 and 5,821.74 is: 7,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.49 : 9,038.22 = 5,821.74 : x
  2. Step 2: Convert to fraction form
    6,584.49/9,038.22 = 5,821.74/x
  3. Step 3: Cross multiply
    6,584.49x = 9,038.22 × 5,821.74
  4. Step 4: Simplify right side
    6,584.49x = 52,618,166.90
  5. Step 5: Solve for x
    x = 52,618,166.90/6,584.49
  6. Step 6: Final answer
    x = 7,991.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.