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Finding the Fourth Proportional to 5,737.35, 8,605 and 1,520.63

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Solution

The fourth proportional to 5,737.35, 8,605 and 1,520.63 is: 2,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.35 : 8,605 = 1,520.63 : x
  2. Step 2: Convert to fraction form
    5,737.35/8,605 = 1,520.63/x
  3. Step 3: Cross multiply
    5,737.35x = 8,605 × 1,520.63
  4. Step 4: Simplify right side
    5,737.35x = 13,085,021.15
  5. Step 5: Solve for x
    x = 13,085,021.15/5,737.35
  6. Step 6: Final answer
    x = 2,280.67

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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.