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Finding the Fourth Proportional to 3,400.76, 5,100.06 and 2,312.12

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Solution

The fourth proportional to 3,400.76, 5,100.06 and 2,312.12 is: 3,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.76 : 5,100.06 = 2,312.12 : x
  2. Step 2: Convert to fraction form
    3,400.76/5,100.06 = 2,312.12/x
  3. Step 3: Cross multiply
    3,400.76x = 5,100.06 × 2,312.12
  4. Step 4: Simplify right side
    3,400.76x = 11,791,950.73
  5. Step 5: Solve for x
    x = 11,791,950.73/3,400.76
  6. Step 6: Final answer
    x = 3,467.45

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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.