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Finding the Fourth Proportional to 4,760.76, 7,134.84 and 3,448.92

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Solution

The fourth proportional to 4,760.76, 7,134.84 and 3,448.92 is: 5,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.76 : 7,134.84 = 3,448.92 : x
  2. Step 2: Convert to fraction form
    4,760.76/7,134.84 = 3,448.92/x
  3. Step 3: Cross multiply
    4,760.76x = 7,134.84 × 3,448.92
  4. Step 4: Simplify right side
    4,760.76x = 24,607,492.37
  5. Step 5: Solve for x
    x = 24,607,492.37/4,760.76
  6. Step 6: Final answer
    x = 5,168.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.