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Finding the Fourth Proportional to 5,814.64, 8,714.81 and 2,690.41

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Solution

The fourth proportional to 5,814.64, 8,714.81 and 2,690.41 is: 4,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.64 : 8,714.81 = 2,690.41 : x
  2. Step 2: Convert to fraction form
    5,814.64/8,714.81 = 2,690.41/x
  3. Step 3: Cross multiply
    5,814.64x = 8,714.81 × 2,690.41
  4. Step 4: Simplify right side
    5,814.64x = 23,446,354.95
  5. Step 5: Solve for x
    x = 23,446,354.95/5,814.64
  6. Step 6: Final answer
    x = 4,032.30

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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.