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Finding the Fourth Proportional to 4,293.06, 5,917.50 and 3,032.11

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Solution

The fourth proportional to 4,293.06, 5,917.50 and 3,032.11 is: 4,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.06 : 5,917.50 = 3,032.11 : x
  2. Step 2: Convert to fraction form
    4,293.06/5,917.50 = 3,032.11/x
  3. Step 3: Cross multiply
    4,293.06x = 5,917.50 × 3,032.11
  4. Step 4: Simplify right side
    4,293.06x = 17,942,510.93
  5. Step 5: Solve for x
    x = 17,942,510.93/4,293.06
  6. Step 6: Final answer
    x = 4,179.42

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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.