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Finding the Fourth Proportional to 5,006.54, 6,907.68 and 3,017

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Solution

The fourth proportional to 5,006.54, 6,907.68 and 3,017 is: 4,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.54 : 6,907.68 = 3,017 : x
  2. Step 2: Convert to fraction form
    5,006.54/6,907.68 = 3,017/x
  3. Step 3: Cross multiply
    5,006.54x = 6,907.68 × 3,017
  4. Step 4: Simplify right side
    5,006.54x = 20,840,470.56
  5. Step 5: Solve for x
    x = 20,840,470.56/5,006.54
  6. Step 6: Final answer
    x = 4,162.65

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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.