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Finding the Fourth Proportional to 5,689.44, 8,530.50 and 3,735.72

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Solution

The fourth proportional to 5,689.44, 8,530.50 and 3,735.72 is: 5,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.44 : 8,530.50 = 3,735.72 : x
  2. Step 2: Convert to fraction form
    5,689.44/8,530.50 = 3,735.72/x
  3. Step 3: Cross multiply
    5,689.44x = 8,530.50 × 3,735.72
  4. Step 4: Simplify right side
    5,689.44x = 31,867,559.46
  5. Step 5: Solve for x
    x = 31,867,559.46/5,689.44
  6. Step 6: Final answer
    x = 5,601.18

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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.