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Finding the Fourth Proportional to 5,669.04, 8,489.16 and 3,818.16

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Solution

The fourth proportional to 5,669.04, 8,489.16 and 3,818.16 is: 5,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.04 : 8,489.16 = 3,818.16 : x
  2. Step 2: Convert to fraction form
    5,669.04/8,489.16 = 3,818.16/x
  3. Step 3: Cross multiply
    5,669.04x = 8,489.16 × 3,818.16
  4. Step 4: Simplify right side
    5,669.04x = 32,412,971.15
  5. Step 5: Solve for x
    x = 32,412,971.15/5,669.04
  6. Step 6: Final answer
    x = 5,717.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.