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Finding the Fourth Proportional to 3,722.06, 5,584.01 and 1,125

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Solution

The fourth proportional to 3,722.06, 5,584.01 and 1,125 is: 1,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.06 : 5,584.01 = 1,125 : x
  2. Step 2: Convert to fraction form
    3,722.06/5,584.01 = 1,125/x
  3. Step 3: Cross multiply
    3,722.06x = 5,584.01 × 1,125
  4. Step 4: Simplify right side
    3,722.06x = 6,282,005.63
  5. Step 5: Solve for x
    x = 6,282,005.63/3,722.06
  6. Step 6: Final answer
    x = 1,687.78

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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.