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Finding the Fourth Proportional to 4,634.48, 6,948.62 and 2,555.48

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Solution

The fourth proportional to 4,634.48, 6,948.62 and 2,555.48 is: 3,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.48 : 6,948.62 = 2,555.48 : x
  2. Step 2: Convert to fraction form
    4,634.48/6,948.62 = 2,555.48/x
  3. Step 3: Cross multiply
    4,634.48x = 6,948.62 × 2,555.48
  4. Step 4: Simplify right side
    4,634.48x = 17,757,059.44
  5. Step 5: Solve for x
    x = 17,757,059.44/4,634.48
  6. Step 6: Final answer
    x = 3,831.51

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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.