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Finding the Fourth Proportional to 4,538.80, 6,806.46 and 1,765.11

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Solution

The fourth proportional to 4,538.80, 6,806.46 and 1,765.11 is: 2,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.80 : 6,806.46 = 1,765.11 : x
  2. Step 2: Convert to fraction form
    4,538.80/6,806.46 = 1,765.11/x
  3. Step 3: Cross multiply
    4,538.80x = 6,806.46 × 1,765.11
  4. Step 4: Simplify right side
    4,538.80x = 12,014,150.61
  5. Step 5: Solve for x
    x = 12,014,150.61/4,538.80
  6. Step 6: Final answer
    x = 2,646.99

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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.