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Finding the Fourth Proportional to 5,710.59, 8,566.17 and 1,814.64

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Solution

The fourth proportional to 5,710.59, 8,566.17 and 1,814.64 is: 2,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.59 : 8,566.17 = 1,814.64 : x
  2. Step 2: Convert to fraction form
    5,710.59/8,566.17 = 1,814.64/x
  3. Step 3: Cross multiply
    5,710.59x = 8,566.17 × 1,814.64
  4. Step 4: Simplify right side
    5,710.59x = 15,544,514.73
  5. Step 5: Solve for x
    x = 15,544,514.73/5,710.59
  6. Step 6: Final answer
    x = 2,722.05

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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.