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Finding the Fourth Proportional to 5,496.42, 7,586.42 and 3,139.94

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Solution

The fourth proportional to 5,496.42, 7,586.42 and 3,139.94 is: 4,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.42 : 7,586.42 = 3,139.94 : x
  2. Step 2: Convert to fraction form
    5,496.42/7,586.42 = 3,139.94/x
  3. Step 3: Cross multiply
    5,496.42x = 7,586.42 × 3,139.94
  4. Step 4: Simplify right side
    5,496.42x = 23,820,903.61
  5. Step 5: Solve for x
    x = 23,820,903.61/5,496.42
  6. Step 6: Final answer
    x = 4,333.89

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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.