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Finding the Fourth Proportional to 3,524.64, 4,863.94 and 1,931.26

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Solution

The fourth proportional to 3,524.64, 4,863.94 and 1,931.26 is: 2,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.64 : 4,863.94 = 1,931.26 : x
  2. Step 2: Convert to fraction form
    3,524.64/4,863.94 = 1,931.26/x
  3. Step 3: Cross multiply
    3,524.64x = 4,863.94 × 1,931.26
  4. Step 4: Simplify right side
    3,524.64x = 9,393,532.76
  5. Step 5: Solve for x
    x = 9,393,532.76/3,524.64
  6. Step 6: Final answer
    x = 2,665.10

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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.