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Finding the Fourth Proportional to 6,401.50, 8,834.21 and 3,607

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Solution

The fourth proportional to 6,401.50, 8,834.21 and 3,607 is: 4,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.50 : 8,834.21 = 3,607 : x
  2. Step 2: Convert to fraction form
    6,401.50/8,834.21 = 3,607/x
  3. Step 3: Cross multiply
    6,401.50x = 8,834.21 × 3,607
  4. Step 4: Simplify right side
    6,401.50x = 31,864,995.47
  5. Step 5: Solve for x
    x = 31,864,995.47/6,401.50
  6. Step 6: Final answer
    x = 4,977.74

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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.