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Finding the Fourth Proportional to 5,269.88, 7,907.16 and 2,674.64

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Solution

The fourth proportional to 5,269.88, 7,907.16 and 2,674.64 is: 4,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.88 : 7,907.16 = 2,674.64 : x
  2. Step 2: Convert to fraction form
    5,269.88/7,907.16 = 2,674.64/x
  3. Step 3: Cross multiply
    5,269.88x = 7,907.16 × 2,674.64
  4. Step 4: Simplify right side
    5,269.88x = 21,148,806.42
  5. Step 5: Solve for x
    x = 21,148,806.42/5,269.88
  6. Step 6: Final answer
    x = 4,013.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.