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Finding the Fourth Proportional to 5,152.74, 7,718.81 and 2,375.61

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Solution

The fourth proportional to 5,152.74, 7,718.81 and 2,375.61 is: 3,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.74 : 7,718.81 = 2,375.61 : x
  2. Step 2: Convert to fraction form
    5,152.74/7,718.81 = 2,375.61/x
  3. Step 3: Cross multiply
    5,152.74x = 7,718.81 × 2,375.61
  4. Step 4: Simplify right side
    5,152.74x = 18,336,870.35
  5. Step 5: Solve for x
    x = 18,336,870.35/5,152.74
  6. Step 6: Final answer
    x = 3,558.66

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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.