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Finding the Fourth Proportional to 4,943.48, 6,806.46 and 4,195.88

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Solution

The fourth proportional to 4,943.48, 6,806.46 and 4,195.88 is: 5,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.48 : 6,806.46 = 4,195.88 : x
  2. Step 2: Convert to fraction form
    4,943.48/6,806.46 = 4,195.88/x
  3. Step 3: Cross multiply
    4,943.48x = 6,806.46 × 4,195.88
  4. Step 4: Simplify right side
    4,943.48x = 28,559,089.38
  5. Step 5: Solve for x
    x = 28,559,089.38/4,943.48
  6. Step 6: Final answer
    x = 5,777.12

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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.