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Finding the Fourth Proportional to 6,153.76, 8,493.28 and 3,635.76

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Solution

The fourth proportional to 6,153.76, 8,493.28 and 3,635.76 is: 5,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.76 : 8,493.28 = 3,635.76 : x
  2. Step 2: Convert to fraction form
    6,153.76/8,493.28 = 3,635.76/x
  3. Step 3: Cross multiply
    6,153.76x = 8,493.28 × 3,635.76
  4. Step 4: Simplify right side
    6,153.76x = 30,879,527.69
  5. Step 5: Solve for x
    x = 30,879,527.69/6,153.76
  6. Step 6: Final answer
    x = 5,017.99

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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.