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Finding the Fourth Proportional to 3,419.66, 4,714.30 and 3,372.86

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Solution

The fourth proportional to 3,419.66, 4,714.30 and 3,372.86 is: 4,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.66 : 4,714.30 = 3,372.86 : x
  2. Step 2: Convert to fraction form
    3,419.66/4,714.30 = 3,372.86/x
  3. Step 3: Cross multiply
    3,419.66x = 4,714.30 × 3,372.86
  4. Step 4: Simplify right side
    3,419.66x = 15,900,673.90
  5. Step 5: Solve for x
    x = 15,900,673.90/3,419.66
  6. Step 6: Final answer
    x = 4,649.78

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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.