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Finding the Fourth Proportional to 3,586.01, 5,378.94 and 1,396.22

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Solution

The fourth proportional to 3,586.01, 5,378.94 and 1,396.22 is: 2,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.01 : 5,378.94 = 1,396.22 : x
  2. Step 2: Convert to fraction form
    3,586.01/5,378.94 = 1,396.22/x
  3. Step 3: Cross multiply
    3,586.01x = 5,378.94 × 1,396.22
  4. Step 4: Simplify right side
    3,586.01x = 7,510,156.71
  5. Step 5: Solve for x
    x = 7,510,156.71/3,586.01
  6. Step 6: Final answer
    x = 2,094.30

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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.