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Finding the Fourth Proportional to 5,536.64, 7,637.88 and 3,861.92

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Solution

The fourth proportional to 5,536.64, 7,637.88 and 3,861.92 is: 5,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.64 : 7,637.88 = 3,861.92 : x
  2. Step 2: Convert to fraction form
    5,536.64/7,637.88 = 3,861.92/x
  3. Step 3: Cross multiply
    5,536.64x = 7,637.88 × 3,861.92
  4. Step 4: Simplify right side
    5,536.64x = 29,496,881.53
  5. Step 5: Solve for x
    x = 29,496,881.53/5,536.64
  6. Step 6: Final answer
    x = 5,327.58

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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.