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Finding the Fourth Proportional to 3,664.08, 5,494.14 and 1,714.50

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Solution

The fourth proportional to 3,664.08, 5,494.14 and 1,714.50 is: 2,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.08 : 5,494.14 = 1,714.50 : x
  2. Step 2: Convert to fraction form
    3,664.08/5,494.14 = 1,714.50/x
  3. Step 3: Cross multiply
    3,664.08x = 5,494.14 × 1,714.50
  4. Step 4: Simplify right side
    3,664.08x = 9,419,703.03
  5. Step 5: Solve for x
    x = 9,419,703.03/3,664.08
  6. Step 6: Final answer
    x = 2,570.82

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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.