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Finding the Fourth Proportional to 6,394.10, 8,823.82 and 3,561.50

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Solution

The fourth proportional to 6,394.10, 8,823.82 and 3,561.50 is: 4,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.10 : 8,823.82 = 3,561.50 : x
  2. Step 2: Convert to fraction form
    6,394.10/8,823.82 = 3,561.50/x
  3. Step 3: Cross multiply
    6,394.10x = 8,823.82 × 3,561.50
  4. Step 4: Simplify right side
    6,394.10x = 31,426,048.09
  5. Step 5: Solve for x
    x = 31,426,048.09/6,394.10
  6. Step 6: Final answer
    x = 4,914.85

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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.