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Finding the Fourth Proportional to 4,483.64, 6,725.85 and 1,196.75

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Solution

The fourth proportional to 4,483.64, 6,725.85 and 1,196.75 is: 1,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.64 : 6,725.85 = 1,196.75 : x
  2. Step 2: Convert to fraction form
    4,483.64/6,725.85 = 1,196.75/x
  3. Step 3: Cross multiply
    4,483.64x = 6,725.85 × 1,196.75
  4. Step 4: Simplify right side
    4,483.64x = 8,049,160.99
  5. Step 5: Solve for x
    x = 8,049,160.99/4,483.64
  6. Step 6: Final answer
    x = 1,795.23

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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.