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Finding the Fourth Proportional to 3,758.19, 5,637.15 and 984.84

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Solution

The fourth proportional to 3,758.19, 5,637.15 and 984.84 is: 1,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.19 : 5,637.15 = 984.84 : x
  2. Step 2: Convert to fraction form
    3,758.19/5,637.15 = 984.84/x
  3. Step 3: Cross multiply
    3,758.19x = 5,637.15 × 984.84
  4. Step 4: Simplify right side
    3,758.19x = 5,551,693.27
  5. Step 5: Solve for x
    x = 5,551,693.27/3,758.19
  6. Step 6: Final answer
    x = 1,477.23

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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.