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Finding the Fourth Proportional to 4,839.30, 6,682.02 and 3,718.47

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Solution

The fourth proportional to 4,839.30, 6,682.02 and 3,718.47 is: 5,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.30 : 6,682.02 = 3,718.47 : x
  2. Step 2: Convert to fraction form
    4,839.30/6,682.02 = 3,718.47/x
  3. Step 3: Cross multiply
    4,839.30x = 6,682.02 × 3,718.47
  4. Step 4: Simplify right side
    4,839.30x = 24,846,890.91
  5. Step 5: Solve for x
    x = 24,846,890.91/4,839.30
  6. Step 6: Final answer
    x = 5,134.40

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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.