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Finding the Fourth Proportional to 4,577.60, 6,866.22 and 3,186.92

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Solution

The fourth proportional to 4,577.60, 6,866.22 and 3,186.92 is: 4,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.60 : 6,866.22 = 3,186.92 : x
  2. Step 2: Convert to fraction form
    4,577.60/6,866.22 = 3,186.92/x
  3. Step 3: Cross multiply
    4,577.60x = 6,866.22 × 3,186.92
  4. Step 4: Simplify right side
    4,577.60x = 21,882,093.84
  5. Step 5: Solve for x
    x = 21,882,093.84/4,577.60
  6. Step 6: Final answer
    x = 4,780.25

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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.