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Finding the Fourth Proportional to 3,588.56, 5,381.80 and 1,396.80

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Solution

The fourth proportional to 3,588.56, 5,381.80 and 1,396.80 is: 2,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.56 : 5,381.80 = 1,396.80 : x
  2. Step 2: Convert to fraction form
    3,588.56/5,381.80 = 1,396.80/x
  3. Step 3: Cross multiply
    3,588.56x = 5,381.80 × 1,396.80
  4. Step 4: Simplify right side
    3,588.56x = 7,517,298.24
  5. Step 5: Solve for x
    x = 7,517,298.24/3,588.56
  6. Step 6: Final answer
    x = 2,094.80

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Why These Related Problems?

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