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Finding the Fourth Proportional to 3,523.61, 5,306.02 and 2,605.64

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Solution

The fourth proportional to 3,523.61, 5,306.02 and 2,605.64 is: 3,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.61 : 5,306.02 = 2,605.64 : x
  2. Step 2: Convert to fraction form
    3,523.61/5,306.02 = 2,605.64/x
  3. Step 3: Cross multiply
    3,523.61x = 5,306.02 × 2,605.64
  4. Step 4: Simplify right side
    3,523.61x = 13,825,593.34
  5. Step 5: Solve for x
    x = 13,825,593.34/3,523.61
  6. Step 6: Final answer
    x = 3,923.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.