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Finding the Fourth Proportional to 4,147.95, 6,221.93 and 1,186.70

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Solution

The fourth proportional to 4,147.95, 6,221.93 and 1,186.70 is: 1,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.95 : 6,221.93 = 1,186.70 : x
  2. Step 2: Convert to fraction form
    4,147.95/6,221.93 = 1,186.70/x
  3. Step 3: Cross multiply
    4,147.95x = 6,221.93 × 1,186.70
  4. Step 4: Simplify right side
    4,147.95x = 7,383,587.40
  5. Step 5: Solve for x
    x = 7,383,587.40/4,147.95
  6. Step 6: Final answer
    x = 1,780.06

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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.