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Finding the Fourth Proportional to 5,347.91, 7,382.17 and 4,787.39

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Solution

The fourth proportional to 5,347.91, 7,382.17 and 4,787.39 is: 6,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.91 : 7,382.17 = 4,787.39 : x
  2. Step 2: Convert to fraction form
    5,347.91/7,382.17 = 4,787.39/x
  3. Step 3: Cross multiply
    5,347.91x = 7,382.17 × 4,787.39
  4. Step 4: Simplify right side
    5,347.91x = 35,341,326.84
  5. Step 5: Solve for x
    x = 35,341,326.84/5,347.91
  6. Step 6: Final answer
    x = 6,608.44

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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.