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Finding the Fourth Proportional to 5,930.85, 8,896.27 and 5,570

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Solution

The fourth proportional to 5,930.85, 8,896.27 and 5,570 is: 8,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.85 : 8,896.27 = 5,570 : x
  2. Step 2: Convert to fraction form
    5,930.85/8,896.27 = 5,570/x
  3. Step 3: Cross multiply
    5,930.85x = 8,896.27 × 5,570
  4. Step 4: Simplify right side
    5,930.85x = 49,552,223.90
  5. Step 5: Solve for x
    x = 49,552,223.90/5,930.85
  6. Step 6: Final answer
    x = 8,355.00

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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.