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Finding the Fourth Proportional to 3,416.39, 4,714.84 and 1,924.17

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Solution

The fourth proportional to 3,416.39, 4,714.84 and 1,924.17 is: 2,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.39 : 4,714.84 = 1,924.17 : x
  2. Step 2: Convert to fraction form
    3,416.39/4,714.84 = 1,924.17/x
  3. Step 3: Cross multiply
    3,416.39x = 4,714.84 × 1,924.17
  4. Step 4: Simplify right side
    3,416.39x = 9,072,153.68
  5. Step 5: Solve for x
    x = 9,072,153.68/3,416.39
  6. Step 6: Final answer
    x = 2,655.48

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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.