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Finding the Fourth Proportional to 5,780.57, 8,669.94 and 2,658.62

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Solution

The fourth proportional to 5,780.57, 8,669.94 and 2,658.62 is: 3,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.57 : 8,669.94 = 2,658.62 : x
  2. Step 2: Convert to fraction form
    5,780.57/8,669.94 = 2,658.62/x
  3. Step 3: Cross multiply
    5,780.57x = 8,669.94 × 2,658.62
  4. Step 4: Simplify right side
    5,780.57x = 23,050,087.59
  5. Step 5: Solve for x
    x = 23,050,087.59/5,780.57
  6. Step 6: Final answer
    x = 3,987.51

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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.