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Finding the Fourth Proportional to 3,524.91, 4,864.53 and 1,953

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Solution

The fourth proportional to 3,524.91, 4,864.53 and 1,953 is: 2,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.91 : 4,864.53 = 1,953 : x
  2. Step 2: Convert to fraction form
    3,524.91/4,864.53 = 1,953/x
  3. Step 3: Cross multiply
    3,524.91x = 4,864.53 × 1,953
  4. Step 4: Simplify right side
    3,524.91x = 9,500,427.09
  5. Step 5: Solve for x
    x = 9,500,427.09/3,524.91
  6. Step 6: Final answer
    x = 2,695.23

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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.