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Finding the Fourth Proportional to 5,652.24, 8,478.24 and 3,020.64

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Solution

The fourth proportional to 5,652.24, 8,478.24 and 3,020.64 is: 4,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.24 : 8,478.24 = 3,020.64 : x
  2. Step 2: Convert to fraction form
    5,652.24/8,478.24 = 3,020.64/x
  3. Step 3: Cross multiply
    5,652.24x = 8,478.24 × 3,020.64
  4. Step 4: Simplify right side
    5,652.24x = 25,609,710.87
  5. Step 5: Solve for x
    x = 25,609,710.87/5,652.24
  6. Step 6: Final answer
    x = 4,530.90

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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.