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Finding the Fourth Proportional to 3,595.05, 5,393.22 and 1,403.67

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Solution

The fourth proportional to 3,595.05, 5,393.22 and 1,403.67 is: 2,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.05 : 5,393.22 = 1,403.67 : x
  2. Step 2: Convert to fraction form
    3,595.05/5,393.22 = 1,403.67/x
  3. Step 3: Cross multiply
    3,595.05x = 5,393.22 × 1,403.67
  4. Step 4: Simplify right side
    3,595.05x = 7,570,301.12
  5. Step 5: Solve for x
    x = 7,570,301.12/3,595.05
  6. Step 6: Final answer
    x = 2,105.76

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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.