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Finding the Fourth Proportional to 6,005.80, 8,291.82 and 3,768.76

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Solution

The fourth proportional to 6,005.80, 8,291.82 and 3,768.76 is: 5,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.80 : 8,291.82 = 3,768.76 : x
  2. Step 2: Convert to fraction form
    6,005.80/8,291.82 = 3,768.76/x
  3. Step 3: Cross multiply
    6,005.80x = 8,291.82 × 3,768.76
  4. Step 4: Simplify right side
    6,005.80x = 31,249,879.54
  5. Step 5: Solve for x
    x = 31,249,879.54/6,005.80
  6. Step 6: Final answer
    x = 5,203.28

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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.