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Finding the Fourth Proportional to 3,646.52, 5,020.26 and 3,056.12

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Solution

The fourth proportional to 3,646.52, 5,020.26 and 3,056.12 is: 4,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.52 : 5,020.26 = 3,056.12 : x
  2. Step 2: Convert to fraction form
    3,646.52/5,020.26 = 3,056.12/x
  3. Step 3: Cross multiply
    3,646.52x = 5,020.26 × 3,056.12
  4. Step 4: Simplify right side
    3,646.52x = 15,342,516.99
  5. Step 5: Solve for x
    x = 15,342,516.99/3,646.52
  6. Step 6: Final answer
    x = 4,207.44

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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.