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Finding the Fourth Proportional to 3,946.64, 5,447.16 and 2,269.22

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Solution

The fourth proportional to 3,946.64, 5,447.16 and 2,269.22 is: 3,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.64 : 5,447.16 = 2,269.22 : x
  2. Step 2: Convert to fraction form
    3,946.64/5,447.16 = 2,269.22/x
  3. Step 3: Cross multiply
    3,946.64x = 5,447.16 × 2,269.22
  4. Step 4: Simplify right side
    3,946.64x = 12,360,804.42
  5. Step 5: Solve for x
    x = 12,360,804.42/3,946.64
  6. Step 6: Final answer
    x = 3,131.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.