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Finding the Fourth Proportional to 5,133.94, 7,083.16 and 3,142.42

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Solution

The fourth proportional to 5,133.94, 7,083.16 and 3,142.42 is: 4,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.94 : 7,083.16 = 3,142.42 : x
  2. Step 2: Convert to fraction form
    5,133.94/7,083.16 = 3,142.42/x
  3. Step 3: Cross multiply
    5,133.94x = 7,083.16 × 3,142.42
  4. Step 4: Simplify right side
    5,133.94x = 22,258,263.65
  5. Step 5: Solve for x
    x = 22,258,263.65/5,133.94
  6. Step 6: Final answer
    x = 4,335.51

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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.