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Finding the Fourth Proportional to 5,734.76, 8,601.67 and 4,061.98

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Solution

The fourth proportional to 5,734.76, 8,601.67 and 4,061.98 is: 6,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.76 : 8,601.67 = 4,061.98 : x
  2. Step 2: Convert to fraction form
    5,734.76/8,601.67 = 4,061.98/x
  3. Step 3: Cross multiply
    5,734.76x = 8,601.67 × 4,061.98
  4. Step 4: Simplify right side
    5,734.76x = 34,939,748.19
  5. Step 5: Solve for x
    x = 34,939,748.19/5,734.76
  6. Step 6: Final answer
    x = 6,092.63

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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.