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Finding the Fourth Proportional to 5,497.27, 7,586.26 and 4,236.10

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Solution

The fourth proportional to 5,497.27, 7,586.26 and 4,236.10 is: 5,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.27 : 7,586.26 = 4,236.10 : x
  2. Step 2: Convert to fraction form
    5,497.27/7,586.26 = 4,236.10/x
  3. Step 3: Cross multiply
    5,497.27x = 7,586.26 × 4,236.10
  4. Step 4: Simplify right side
    5,497.27x = 32,136,126.43
  5. Step 5: Solve for x
    x = 32,136,126.43/5,497.27
  6. Step 6: Final answer
    x = 5,845.84

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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.