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Finding the Fourth Proportional to 3,714.82, 5,126.48 and 2,535.86

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Solution

The fourth proportional to 3,714.82, 5,126.48 and 2,535.86 is: 3,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.82 : 5,126.48 = 2,535.86 : x
  2. Step 2: Convert to fraction form
    3,714.82/5,126.48 = 2,535.86/x
  3. Step 3: Cross multiply
    3,714.82x = 5,126.48 × 2,535.86
  4. Step 4: Simplify right side
    3,714.82x = 13,000,035.57
  5. Step 5: Solve for x
    x = 13,000,035.57/3,714.82
  6. Step 6: Final answer
    x = 3,499.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.