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Finding the Fourth Proportional to 5,538.60, 7,640.84 and 3,647.76

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Solution

The fourth proportional to 5,538.60, 7,640.84 and 3,647.76 is: 5,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.60 : 7,640.84 = 3,647.76 : x
  2. Step 2: Convert to fraction form
    5,538.60/7,640.84 = 3,647.76/x
  3. Step 3: Cross multiply
    5,538.60x = 7,640.84 × 3,647.76
  4. Step 4: Simplify right side
    5,538.60x = 27,871,950.52
  5. Step 5: Solve for x
    x = 27,871,950.52/5,538.60
  6. Step 6: Final answer
    x = 5,032.31

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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.