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Finding the Fourth Proportional to 6,466.04, 8,922.66 and 3,671

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Solution

The fourth proportional to 6,466.04, 8,922.66 and 3,671 is: 5,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.04 : 8,922.66 = 3,671 : x
  2. Step 2: Convert to fraction form
    6,466.04/8,922.66 = 3,671/x
  3. Step 3: Cross multiply
    6,466.04x = 8,922.66 × 3,671
  4. Step 4: Simplify right side
    6,466.04x = 32,755,084.86
  5. Step 5: Solve for x
    x = 32,755,084.86/6,466.04
  6. Step 6: Final answer
    x = 5,065.71

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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.