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Finding the Fourth Proportional to 5,702.96, 8,569.62 and 3,072.48

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Solution

The fourth proportional to 5,702.96, 8,569.62 and 3,072.48 is: 4,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.96 : 8,569.62 = 3,072.48 : x
  2. Step 2: Convert to fraction form
    5,702.96/8,569.62 = 3,072.48/x
  3. Step 3: Cross multiply
    5,702.96x = 8,569.62 × 3,072.48
  4. Step 4: Simplify right side
    5,702.96x = 26,329,986.06
  5. Step 5: Solve for x
    x = 26,329,986.06/5,702.96
  6. Step 6: Final answer
    x = 4,616.90

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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.