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Finding the Fourth Proportional to 4,685.52, 7,027.74 and 1,223.04

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Solution

The fourth proportional to 4,685.52, 7,027.74 and 1,223.04 is: 1,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.52 : 7,027.74 = 1,223.04 : x
  2. Step 2: Convert to fraction form
    4,685.52/7,027.74 = 1,223.04/x
  3. Step 3: Cross multiply
    4,685.52x = 7,027.74 × 1,223.04
  4. Step 4: Simplify right side
    4,685.52x = 8,595,207.13
  5. Step 5: Solve for x
    x = 8,595,207.13/4,685.52
  6. Step 6: Final answer
    x = 1,834.42

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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.