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Finding the Fourth Proportional to 5,946.21, 8,170.27 and 5,562.27

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Solution

The fourth proportional to 5,946.21, 8,170.27 and 5,562.27 is: 7,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.21 : 8,170.27 = 5,562.27 : x
  2. Step 2: Convert to fraction form
    5,946.21/8,170.27 = 5,562.27/x
  3. Step 3: Cross multiply
    5,946.21x = 8,170.27 × 5,562.27
  4. Step 4: Simplify right side
    5,946.21x = 45,445,233.81
  5. Step 5: Solve for x
    x = 45,445,233.81/5,946.21
  6. Step 6: Final answer
    x = 7,642.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.