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Finding the Fourth Proportional to 5,706.47, 8,563.82 and 2,011.82

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Solution

The fourth proportional to 5,706.47, 8,563.82 and 2,011.82 is: 3,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.47 : 8,563.82 = 2,011.82 : x
  2. Step 2: Convert to fraction form
    5,706.47/8,563.82 = 2,011.82/x
  3. Step 3: Cross multiply
    5,706.47x = 8,563.82 × 2,011.82
  4. Step 4: Simplify right side
    5,706.47x = 17,228,811.47
  5. Step 5: Solve for x
    x = 17,228,811.47/5,706.47
  6. Step 6: Final answer
    x = 3,019.17

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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.