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Finding the Fourth Proportional to 4,714.17, 7,066.08 and 1,939.41

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Solution

The fourth proportional to 4,714.17, 7,066.08 and 1,939.41 is: 2,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.17 : 7,066.08 = 1,939.41 : x
  2. Step 2: Convert to fraction form
    4,714.17/7,066.08 = 1,939.41/x
  3. Step 3: Cross multiply
    4,714.17x = 7,066.08 × 1,939.41
  4. Step 4: Simplify right side
    4,714.17x = 13,704,026.21
  5. Step 5: Solve for x
    x = 13,704,026.21/4,714.17
  6. Step 6: Final answer
    x = 2,906.99

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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.