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Finding the Fourth Proportional to 5,710.42, 8,565.65 and 1,814.83

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Solution

The fourth proportional to 5,710.42, 8,565.65 and 1,814.83 is: 2,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.42 : 8,565.65 = 1,814.83 : x
  2. Step 2: Convert to fraction form
    5,710.42/8,565.65 = 1,814.83/x
  3. Step 3: Cross multiply
    5,710.42x = 8,565.65 × 1,814.83
  4. Step 4: Simplify right side
    5,710.42x = 15,545,198.59
  5. Step 5: Solve for x
    x = 15,545,198.59/5,710.42
  6. Step 6: Final answer
    x = 2,722.25

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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.