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Finding the Fourth Proportional to 3,744.66, 5,623.26 and 3,595.67

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Solution

The fourth proportional to 3,744.66, 5,623.26 and 3,595.67 is: 5,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.66 : 5,623.26 = 3,595.67 : x
  2. Step 2: Convert to fraction form
    3,744.66/5,623.26 = 3,595.67/x
  3. Step 3: Cross multiply
    3,744.66x = 5,623.26 × 3,595.67
  4. Step 4: Simplify right side
    3,744.66x = 20,219,341.19
  5. Step 5: Solve for x
    x = 20,219,341.19/3,744.66
  6. Step 6: Final answer
    x = 5,399.51

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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.