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Finding the Fourth Proportional to 3,546.99, 5,320.40 and 914.46

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Solution

The fourth proportional to 3,546.99, 5,320.40 and 914.46 is: 1,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.99 : 5,320.40 = 914.46 : x
  2. Step 2: Convert to fraction form
    3,546.99/5,320.40 = 914.46/x
  3. Step 3: Cross multiply
    3,546.99x = 5,320.40 × 914.46
  4. Step 4: Simplify right side
    3,546.99x = 4,865,273.60
  5. Step 5: Solve for x
    x = 4,865,273.60/3,546.99
  6. Step 6: Final answer
    x = 1,371.66

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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.