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Finding the Fourth Proportional to 5,709.22, 8,565.63 and 2,011.30

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Solution

The fourth proportional to 5,709.22, 8,565.63 and 2,011.30 is: 3,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.22 : 8,565.63 = 2,011.30 : x
  2. Step 2: Convert to fraction form
    5,709.22/8,565.63 = 2,011.30/x
  3. Step 3: Cross multiply
    5,709.22x = 8,565.63 × 2,011.30
  4. Step 4: Simplify right side
    5,709.22x = 17,228,051.62
  5. Step 5: Solve for x
    x = 17,228,051.62/5,709.22
  6. Step 6: Final answer
    x = 3,017.58

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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.