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Finding the Fourth Proportional to 4,712.27, 6,503.76 and 3,523.22

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Solution

The fourth proportional to 4,712.27, 6,503.76 and 3,523.22 is: 4,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.27 : 6,503.76 = 3,523.22 : x
  2. Step 2: Convert to fraction form
    4,712.27/6,503.76 = 3,523.22/x
  3. Step 3: Cross multiply
    4,712.27x = 6,503.76 × 3,523.22
  4. Step 4: Simplify right side
    4,712.27x = 22,914,144.79
  5. Step 5: Solve for x
    x = 22,914,144.79/4,712.27
  6. Step 6: Final answer
    x = 4,862.66

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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.