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Finding the Fourth Proportional to 5,874.29, 8,106.53 and 3,221.72

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Solution

The fourth proportional to 5,874.29, 8,106.53 and 3,221.72 is: 4,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.29 : 8,106.53 = 3,221.72 : x
  2. Step 2: Convert to fraction form
    5,874.29/8,106.53 = 3,221.72/x
  3. Step 3: Cross multiply
    5,874.29x = 8,106.53 × 3,221.72
  4. Step 4: Simplify right side
    5,874.29x = 26,116,913.19
  5. Step 5: Solve for x
    x = 26,116,913.19/5,874.29
  6. Step 6: Final answer
    x = 4,445.97

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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.