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Finding the Fourth Proportional to 5,913.50, 8,862.95 and 3,280.89

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Solution

The fourth proportional to 5,913.50, 8,862.95 and 3,280.89 is: 4,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.50 : 8,862.95 = 3,280.89 : x
  2. Step 2: Convert to fraction form
    5,913.50/8,862.95 = 3,280.89/x
  3. Step 3: Cross multiply
    5,913.50x = 8,862.95 × 3,280.89
  4. Step 4: Simplify right side
    5,913.50x = 29,078,372.23
  5. Step 5: Solve for x
    x = 29,078,372.23/5,913.50
  6. Step 6: Final answer
    x = 4,917.28

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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.