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Finding the Fourth Proportional to 4,483.40, 6,724.62 and 1,196.78

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Solution

The fourth proportional to 4,483.40, 6,724.62 and 1,196.78 is: 1,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.40 : 6,724.62 = 1,196.78 : x
  2. Step 2: Convert to fraction form
    4,483.40/6,724.62 = 1,196.78/x
  3. Step 3: Cross multiply
    4,483.40x = 6,724.62 × 1,196.78
  4. Step 4: Simplify right side
    4,483.40x = 8,047,857.10
  5. Step 5: Solve for x
    x = 8,047,857.10/4,483.40
  6. Step 6: Final answer
    x = 1,795.04

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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.