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Finding the Fourth Proportional to 3,524.90, 4,864.55 and 1,953

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Solution

The fourth proportional to 3,524.90, 4,864.55 and 1,953 is: 2,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.90 : 4,864.55 = 1,953 : x
  2. Step 2: Convert to fraction form
    3,524.90/4,864.55 = 1,953/x
  3. Step 3: Cross multiply
    3,524.90x = 4,864.55 × 1,953
  4. Step 4: Simplify right side
    3,524.90x = 9,500,456.39
  5. Step 5: Solve for x
    x = 9,500,456.39/3,524.90
  6. Step 6: Final answer
    x = 2,695.25

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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.