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Finding the Fourth Proportional to 3,186.09, 4,779.18 and 994.86

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Solution

The fourth proportional to 3,186.09, 4,779.18 and 994.86 is: 1,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.09 : 4,779.18 = 994.86 : x
  2. Step 2: Convert to fraction form
    3,186.09/4,779.18 = 994.86/x
  3. Step 3: Cross multiply
    3,186.09x = 4,779.18 × 994.86
  4. Step 4: Simplify right side
    3,186.09x = 4,754,615.01
  5. Step 5: Solve for x
    x = 4,754,615.01/3,186.09
  6. Step 6: Final answer
    x = 1,492.30

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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.