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Finding the Fourth Proportional to 5,570.22, 7,687.37 and 3,180.93

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Solution

The fourth proportional to 5,570.22, 7,687.37 and 3,180.93 is: 4,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.22 : 7,687.37 = 3,180.93 : x
  2. Step 2: Convert to fraction form
    5,570.22/7,687.37 = 3,180.93/x
  3. Step 3: Cross multiply
    5,570.22x = 7,687.37 × 3,180.93
  4. Step 4: Simplify right side
    5,570.22x = 24,452,985.85
  5. Step 5: Solve for x
    x = 24,452,985.85/5,570.22
  6. Step 6: Final answer
    x = 4,389.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.