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Finding the Fourth Proportional to 5,821.40, 8,033.43 and 3,430.99

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Solution

The fourth proportional to 5,821.40, 8,033.43 and 3,430.99 is: 4,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.40 : 8,033.43 = 3,430.99 : x
  2. Step 2: Convert to fraction form
    5,821.40/8,033.43 = 3,430.99/x
  3. Step 3: Cross multiply
    5,821.40x = 8,033.43 × 3,430.99
  4. Step 4: Simplify right side
    5,821.40x = 27,562,597.91
  5. Step 5: Solve for x
    x = 27,562,597.91/5,821.40
  6. Step 6: Final answer
    x = 4,734.71

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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.