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Finding the Fourth Proportional to 5,656.78, 8,485.14 and 2,194

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Solution

The fourth proportional to 5,656.78, 8,485.14 and 2,194 is: 3,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.78 : 8,485.14 = 2,194 : x
  2. Step 2: Convert to fraction form
    5,656.78/8,485.14 = 2,194/x
  3. Step 3: Cross multiply
    5,656.78x = 8,485.14 × 2,194
  4. Step 4: Simplify right side
    5,656.78x = 18,616,397.16
  5. Step 5: Solve for x
    x = 18,616,397.16/5,656.78
  6. Step 6: Final answer
    x = 3,290.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.