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Finding the Fourth Proportional to 3,700.56, 5,105.88 and 2,302.32

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Solution

The fourth proportional to 3,700.56, 5,105.88 and 2,302.32 is: 3,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.56 : 5,105.88 = 2,302.32 : x
  2. Step 2: Convert to fraction form
    3,700.56/5,105.88 = 2,302.32/x
  3. Step 3: Cross multiply
    3,700.56x = 5,105.88 × 2,302.32
  4. Step 4: Simplify right side
    3,700.56x = 11,755,369.64
  5. Step 5: Solve for x
    x = 11,755,369.64/3,700.56
  6. Step 6: Final answer
    x = 3,176.65

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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.