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Finding the Fourth Proportional to 4,892.40, 6,745.80 and 3,566.68

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Solution

The fourth proportional to 4,892.40, 6,745.80 and 3,566.68 is: 4,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.40 : 6,745.80 = 3,566.68 : x
  2. Step 2: Convert to fraction form
    4,892.40/6,745.80 = 3,566.68/x
  3. Step 3: Cross multiply
    4,892.40x = 6,745.80 × 3,566.68
  4. Step 4: Simplify right side
    4,892.40x = 24,060,109.94
  5. Step 5: Solve for x
    x = 24,060,109.94/4,892.40
  6. Step 6: Final answer
    x = 4,917.85

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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.