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Finding the Fourth Proportional to 5,912.67, 8,853.35 and 3,569.54

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Solution

The fourth proportional to 5,912.67, 8,853.35 and 3,569.54 is: 5,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.67 : 8,853.35 = 3,569.54 : x
  2. Step 2: Convert to fraction form
    5,912.67/8,853.35 = 3,569.54/x
  3. Step 3: Cross multiply
    5,912.67x = 8,853.35 × 3,569.54
  4. Step 4: Simplify right side
    5,912.67x = 31,602,386.96
  5. Step 5: Solve for x
    x = 31,602,386.96/5,912.67
  6. Step 6: Final answer
    x = 5,344.86

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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.