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Finding the Fourth Proportional to 4,009.77, 6,013.57 and 1,197.94

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Solution

The fourth proportional to 4,009.77, 6,013.57 and 1,197.94 is: 1,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.77 : 6,013.57 = 1,197.94 : x
  2. Step 2: Convert to fraction form
    4,009.77/6,013.57 = 1,197.94/x
  3. Step 3: Cross multiply
    4,009.77x = 6,013.57 × 1,197.94
  4. Step 4: Simplify right side
    4,009.77x = 7,203,878.66
  5. Step 5: Solve for x
    x = 7,203,878.66/4,009.77
  6. Step 6: Final answer
    x = 1,796.58

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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.