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Finding the Fourth Proportional to 5,685.74, 8,522.77 and 2,174.93

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Solution

The fourth proportional to 5,685.74, 8,522.77 and 2,174.93 is: 3,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.74 : 8,522.77 = 2,174.93 : x
  2. Step 2: Convert to fraction form
    5,685.74/8,522.77 = 2,174.93/x
  3. Step 3: Cross multiply
    5,685.74x = 8,522.77 × 2,174.93
  4. Step 4: Simplify right side
    5,685.74x = 18,536,392.17
  5. Step 5: Solve for x
    x = 18,536,392.17/5,685.74
  6. Step 6: Final answer
    x = 3,260.15

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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.