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Finding the Fourth Proportional to 4,959.74, 7,435.97 and 2,364.50

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Solution

The fourth proportional to 4,959.74, 7,435.97 and 2,364.50 is: 3,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.74 : 7,435.97 = 2,364.50 : x
  2. Step 2: Convert to fraction form
    4,959.74/7,435.97 = 2,364.50/x
  3. Step 3: Cross multiply
    4,959.74x = 7,435.97 × 2,364.50
  4. Step 4: Simplify right side
    4,959.74x = 17,582,375.57
  5. Step 5: Solve for x
    x = 17,582,375.57/4,959.74
  6. Step 6: Final answer
    x = 3,545.02

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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.