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Finding the Fourth Proportional to 5,710.35, 8,564.57 and 2,011.71

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Solution

The fourth proportional to 5,710.35, 8,564.57 and 2,011.71 is: 3,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.35 : 8,564.57 = 2,011.71 : x
  2. Step 2: Convert to fraction form
    5,710.35/8,564.57 = 2,011.71/x
  3. Step 3: Cross multiply
    5,710.35x = 8,564.57 × 2,011.71
  4. Step 4: Simplify right side
    5,710.35x = 17,229,378.23
  5. Step 5: Solve for x
    x = 17,229,378.23/5,710.35
  6. Step 6: Final answer
    x = 3,017.22

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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.