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Finding the Fourth Proportional to 5,152.88, 7,734.36 and 3,694.64

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Solution

The fourth proportional to 5,152.88, 7,734.36 and 3,694.64 is: 5,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.88 : 7,734.36 = 3,694.64 : x
  2. Step 2: Convert to fraction form
    5,152.88/7,734.36 = 3,694.64/x
  3. Step 3: Cross multiply
    5,152.88x = 7,734.36 × 3,694.64
  4. Step 4: Simplify right side
    5,152.88x = 28,575,675.83
  5. Step 5: Solve for x
    x = 28,575,675.83/5,152.88
  6. Step 6: Final answer
    x = 5,545.57

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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.