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Finding the Fourth Proportional to 5,814.14, 8,714.06 and 2,689.91

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Solution

The fourth proportional to 5,814.14, 8,714.06 and 2,689.91 is: 4,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.14 : 8,714.06 = 2,689.91 : x
  2. Step 2: Convert to fraction form
    5,814.14/8,714.06 = 2,689.91/x
  3. Step 3: Cross multiply
    5,814.14x = 8,714.06 × 2,689.91
  4. Step 4: Simplify right side
    5,814.14x = 23,439,980.11
  5. Step 5: Solve for x
    x = 23,439,980.11/5,814.14
  6. Step 6: Final answer
    x = 4,031.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.