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Finding the Fourth Proportional to 4,118.64, 6,177.87 and 1,196.82

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Solution

The fourth proportional to 4,118.64, 6,177.87 and 1,196.82 is: 1,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.64 : 6,177.87 = 1,196.82 : x
  2. Step 2: Convert to fraction form
    4,118.64/6,177.87 = 1,196.82/x
  3. Step 3: Cross multiply
    4,118.64x = 6,177.87 × 1,196.82
  4. Step 4: Simplify right side
    4,118.64x = 7,393,798.37
  5. Step 5: Solve for x
    x = 7,393,798.37/4,118.64
  6. Step 6: Final answer
    x = 1,795.20

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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.