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Finding the Fourth Proportional to 4,538.01, 6,806.31 and 1,765.99

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Solution

The fourth proportional to 4,538.01, 6,806.31 and 1,765.99 is: 2,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.01 : 6,806.31 = 1,765.99 : x
  2. Step 2: Convert to fraction form
    4,538.01/6,806.31 = 1,765.99/x
  3. Step 3: Cross multiply
    4,538.01x = 6,806.31 × 1,765.99
  4. Step 4: Simplify right side
    4,538.01x = 12,019,875.40
  5. Step 5: Solve for x
    x = 12,019,875.40/4,538.01
  6. Step 6: Final answer
    x = 2,648.71

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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.