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Finding the Fourth Proportional to 3,516, 4,852.26 and 2,024.28

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Solution

The fourth proportional to 3,516, 4,852.26 and 2,024.28 is: 2,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516 : 4,852.26 = 2,024.28 : x
  2. Step 2: Convert to fraction form
    3,516/4,852.26 = 2,024.28/x
  3. Step 3: Cross multiply
    3,516x = 4,852.26 × 2,024.28
  4. Step 4: Simplify right side
    3,516x = 9,822,332.87
  5. Step 5: Solve for x
    x = 9,822,332.87/3,516
  6. Step 6: Final answer
    x = 2,793.61

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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.