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Finding the Fourth Proportional to 3,714.84, 5,572.06 and 1,249.72

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Solution

The fourth proportional to 3,714.84, 5,572.06 and 1,249.72 is: 1,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.84 : 5,572.06 = 1,249.72 : x
  2. Step 2: Convert to fraction form
    3,714.84/5,572.06 = 1,249.72/x
  3. Step 3: Cross multiply
    3,714.84x = 5,572.06 × 1,249.72
  4. Step 4: Simplify right side
    3,714.84x = 6,963,514.82
  5. Step 5: Solve for x
    x = 6,963,514.82/3,714.84
  6. Step 6: Final answer
    x = 1,874.51

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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.