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Finding the Fourth Proportional to 4,316.85, 6,474.06 and 1,196.10

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Solution

The fourth proportional to 4,316.85, 6,474.06 and 1,196.10 is: 1,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.85 : 6,474.06 = 1,196.10 : x
  2. Step 2: Convert to fraction form
    4,316.85/6,474.06 = 1,196.10/x
  3. Step 3: Cross multiply
    4,316.85x = 6,474.06 × 1,196.10
  4. Step 4: Simplify right side
    4,316.85x = 7,743,623.17
  5. Step 5: Solve for x
    x = 7,743,623.17/4,316.85
  6. Step 6: Final answer
    x = 1,793.81

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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.