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Finding the Fourth Proportional to 5,041.29, 6,957.45 and 3,052.38

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Solution

The fourth proportional to 5,041.29, 6,957.45 and 3,052.38 is: 4,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.29 : 6,957.45 = 3,052.38 : x
  2. Step 2: Convert to fraction form
    5,041.29/6,957.45 = 3,052.38/x
  3. Step 3: Cross multiply
    5,041.29x = 6,957.45 × 3,052.38
  4. Step 4: Simplify right side
    5,041.29x = 21,236,781.23
  5. Step 5: Solve for x
    x = 21,236,781.23/5,041.29
  6. Step 6: Final answer
    x = 4,212.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.