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Finding the Fourth Proportional to 5,447.47, 7,523.64 and 3,676

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Solution

The fourth proportional to 5,447.47, 7,523.64 and 3,676 is: 5,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.47 : 7,523.64 = 3,676 : x
  2. Step 2: Convert to fraction form
    5,447.47/7,523.64 = 3,676/x
  3. Step 3: Cross multiply
    5,447.47x = 7,523.64 × 3,676
  4. Step 4: Simplify right side
    5,447.47x = 27,656,900.64
  5. Step 5: Solve for x
    x = 27,656,900.64/5,447.47
  6. Step 6: Final answer
    x = 5,077.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.