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Finding the Fourth Proportional to 6,401.60, 8,834.20 and 3,607.12

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Solution

The fourth proportional to 6,401.60, 8,834.20 and 3,607.12 is: 4,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.60 : 8,834.20 = 3,607.12 : x
  2. Step 2: Convert to fraction form
    6,401.60/8,834.20 = 3,607.12/x
  3. Step 3: Cross multiply
    6,401.60x = 8,834.20 × 3,607.12
  4. Step 4: Simplify right side
    6,401.60x = 31,866,019.50
  5. Step 5: Solve for x
    x = 31,866,019.50/6,401.60
  6. Step 6: Final answer
    x = 4,977.82

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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.