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Finding the Fourth Proportional to 3,586.61, 5,381.94 and 1,395.06

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Solution

The fourth proportional to 3,586.61, 5,381.94 and 1,395.06 is: 2,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.61 : 5,381.94 = 1,395.06 : x
  2. Step 2: Convert to fraction form
    3,586.61/5,381.94 = 1,395.06/x
  3. Step 3: Cross multiply
    3,586.61x = 5,381.94 × 1,395.06
  4. Step 4: Simplify right side
    3,586.61x = 7,508,114.27
  5. Step 5: Solve for x
    x = 7,508,114.27/3,586.61
  6. Step 6: Final answer
    x = 2,093.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.