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Finding the Fourth Proportional to 6,401.69, 8,834.48 and 3,607.19

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Solution

The fourth proportional to 6,401.69, 8,834.48 and 3,607.19 is: 4,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.69 : 8,834.48 = 3,607.19 : x
  2. Step 2: Convert to fraction form
    6,401.69/8,834.48 = 3,607.19/x
  3. Step 3: Cross multiply
    6,401.69x = 8,834.48 × 3,607.19
  4. Step 4: Simplify right side
    6,401.69x = 31,867,647.91
  5. Step 5: Solve for x
    x = 31,867,647.91/6,401.69
  6. Step 6: Final answer
    x = 4,978.01

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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.