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Finding the Fourth Proportional to 4,200.04, 6,324.50 and 3,112.12

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Solution

The fourth proportional to 4,200.04, 6,324.50 and 3,112.12 is: 4,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.04 : 6,324.50 = 3,112.12 : x
  2. Step 2: Convert to fraction form
    4,200.04/6,324.50 = 3,112.12/x
  3. Step 3: Cross multiply
    4,200.04x = 6,324.50 × 3,112.12
  4. Step 4: Simplify right side
    4,200.04x = 19,682,602.94
  5. Step 5: Solve for x
    x = 19,682,602.94/4,200.04
  6. Step 6: Final answer
    x = 4,686.29

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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.