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Finding the Fourth Proportional to 3,717.50, 5,572.94 and 1,410.62

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Solution

The fourth proportional to 3,717.50, 5,572.94 and 1,410.62 is: 2,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.50 : 5,572.94 = 1,410.62 : x
  2. Step 2: Convert to fraction form
    3,717.50/5,572.94 = 1,410.62/x
  3. Step 3: Cross multiply
    3,717.50x = 5,572.94 × 1,410.62
  4. Step 4: Simplify right side
    3,717.50x = 7,861,265.71
  5. Step 5: Solve for x
    x = 7,861,265.71/3,717.50
  6. Step 6: Final answer
    x = 2,114.67

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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.