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Finding the Fourth Proportional to 4,883.92, 7,325.88 and 1,186.09

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Solution

The fourth proportional to 4,883.92, 7,325.88 and 1,186.09 is: 1,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.92 : 7,325.88 = 1,186.09 : x
  2. Step 2: Convert to fraction form
    4,883.92/7,325.88 = 1,186.09/x
  3. Step 3: Cross multiply
    4,883.92x = 7,325.88 × 1,186.09
  4. Step 4: Simplify right side
    4,883.92x = 8,689,153.01
  5. Step 5: Solve for x
    x = 8,689,153.01/4,883.92
  6. Step 6: Final answer
    x = 1,779.14

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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.