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Finding the Fourth Proportional to 5,502.82, 7,589.66 and 3,709.64

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Solution

The fourth proportional to 5,502.82, 7,589.66 and 3,709.64 is: 5,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.82 : 7,589.66 = 3,709.64 : x
  2. Step 2: Convert to fraction form
    5,502.82/7,589.66 = 3,709.64/x
  3. Step 3: Cross multiply
    5,502.82x = 7,589.66 × 3,709.64
  4. Step 4: Simplify right side
    5,502.82x = 28,154,906.32
  5. Step 5: Solve for x
    x = 28,154,906.32/5,502.82
  6. Step 6: Final answer
    x = 5,116.45

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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.