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Finding the Fourth Proportional to 6,401.61, 8,834.40 and 3,749.13

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Solution

The fourth proportional to 6,401.61, 8,834.40 and 3,749.13 is: 5,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.61 : 8,834.40 = 3,749.13 : x
  2. Step 2: Convert to fraction form
    6,401.61/8,834.40 = 3,749.13/x
  3. Step 3: Cross multiply
    6,401.61x = 8,834.40 × 3,749.13
  4. Step 4: Simplify right side
    6,401.61x = 33,121,314.07
  5. Step 5: Solve for x
    x = 33,121,314.07/6,401.61
  6. Step 6: Final answer
    x = 5,173.90

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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.