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Finding the Fourth Proportional to 5,494.94, 7,585.63 and 3,136.62

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Solution

The fourth proportional to 5,494.94, 7,585.63 and 3,136.62 is: 4,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.94 : 7,585.63 = 3,136.62 : x
  2. Step 2: Convert to fraction form
    5,494.94/7,585.63 = 3,136.62/x
  3. Step 3: Cross multiply
    5,494.94x = 7,585.63 × 3,136.62
  4. Step 4: Simplify right side
    5,494.94x = 23,793,238.77
  5. Step 5: Solve for x
    x = 23,793,238.77/5,494.94
  6. Step 6: Final answer
    x = 4,330.03

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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.