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Finding the Fourth Proportional to 3,539.68, 5,302.23 and 2,758.84

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Solution

The fourth proportional to 3,539.68, 5,302.23 and 2,758.84 is: 4,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.68 : 5,302.23 = 2,758.84 : x
  2. Step 2: Convert to fraction form
    3,539.68/5,302.23 = 2,758.84/x
  3. Step 3: Cross multiply
    3,539.68x = 5,302.23 × 2,758.84
  4. Step 4: Simplify right side
    3,539.68x = 14,628,004.21
  5. Step 5: Solve for x
    x = 14,628,004.21/3,539.68
  6. Step 6: Final answer
    x = 4,132.58

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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.