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Finding the Fourth Proportional to 5,630.77, 7,771.71 and 3,745.63

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Solution

The fourth proportional to 5,630.77, 7,771.71 and 3,745.63 is: 5,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.77 : 7,771.71 = 3,745.63 : x
  2. Step 2: Convert to fraction form
    5,630.77/7,771.71 = 3,745.63/x
  3. Step 3: Cross multiply
    5,630.77x = 7,771.71 × 3,745.63
  4. Step 4: Simplify right side
    5,630.77x = 29,109,950.13
  5. Step 5: Solve for x
    x = 29,109,950.13/5,630.77
  6. Step 6: Final answer
    x = 5,169.80

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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.