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Finding the Fourth Proportional to 3,584.01, 5,376.11 and 986.93

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Solution

The fourth proportional to 3,584.01, 5,376.11 and 986.93 is: 1,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.01 : 5,376.11 = 986.93 : x
  2. Step 2: Convert to fraction form
    3,584.01/5,376.11 = 986.93/x
  3. Step 3: Cross multiply
    3,584.01x = 5,376.11 × 986.93
  4. Step 4: Simplify right side
    3,584.01x = 5,305,844.24
  5. Step 5: Solve for x
    x = 5,305,844.24/3,584.01
  6. Step 6: Final answer
    x = 1,480.42

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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.