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Finding the Fourth Proportional to 5,493.93, 7,581.58 and 3,136.06

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Solution

The fourth proportional to 5,493.93, 7,581.58 and 3,136.06 is: 4,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.93 : 7,581.58 = 3,136.06 : x
  2. Step 2: Convert to fraction form
    5,493.93/7,581.58 = 3,136.06/x
  3. Step 3: Cross multiply
    5,493.93x = 7,581.58 × 3,136.06
  4. Step 4: Simplify right side
    5,493.93x = 23,776,291.41
  5. Step 5: Solve for x
    x = 23,776,291.41/5,493.93
  6. Step 6: Final answer
    x = 4,327.74

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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.