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Finding the Fourth Proportional to 4,566.88, 6,849.48 and 3,246.46

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Solution

The fourth proportional to 4,566.88, 6,849.48 and 3,246.46 is: 4,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.88 : 6,849.48 = 3,246.46 : x
  2. Step 2: Convert to fraction form
    4,566.88/6,849.48 = 3,246.46/x
  3. Step 3: Cross multiply
    4,566.88x = 6,849.48 × 3,246.46
  4. Step 4: Simplify right side
    4,566.88x = 22,236,562.84
  5. Step 5: Solve for x
    x = 22,236,562.84/4,566.88
  6. Step 6: Final answer
    x = 4,869.09

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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.