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Finding the Fourth Proportional to 5,772.42, 8,658.63 and 2,074.66

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Solution

The fourth proportional to 5,772.42, 8,658.63 and 2,074.66 is: 3,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.42 : 8,658.63 = 2,074.66 : x
  2. Step 2: Convert to fraction form
    5,772.42/8,658.63 = 2,074.66/x
  3. Step 3: Cross multiply
    5,772.42x = 8,658.63 × 2,074.66
  4. Step 4: Simplify right side
    5,772.42x = 17,963,691.67
  5. Step 5: Solve for x
    x = 17,963,691.67/5,772.42
  6. Step 6: Final answer
    x = 3,111.99

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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.