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Finding the Fourth Proportional to 3,440.74, 5,184.06 and 3,112.05

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Solution

The fourth proportional to 3,440.74, 5,184.06 and 3,112.05 is: 4,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.74 : 5,184.06 = 3,112.05 : x
  2. Step 2: Convert to fraction form
    3,440.74/5,184.06 = 3,112.05/x
  3. Step 3: Cross multiply
    3,440.74x = 5,184.06 × 3,112.05
  4. Step 4: Simplify right side
    3,440.74x = 16,133,070.45
  5. Step 5: Solve for x
    x = 16,133,070.45/3,440.74
  6. Step 6: Final answer
    x = 4,688.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.