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Finding the Fourth Proportional to 5,402.52, 7,452.26 and 3,303

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Solution

The fourth proportional to 5,402.52, 7,452.26 and 3,303 is: 4,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.52 : 7,452.26 = 3,303 : x
  2. Step 2: Convert to fraction form
    5,402.52/7,452.26 = 3,303/x
  3. Step 3: Cross multiply
    5,402.52x = 7,452.26 × 3,303
  4. Step 4: Simplify right side
    5,402.52x = 24,614,814.78
  5. Step 5: Solve for x
    x = 24,614,814.78/5,402.52
  6. Step 6: Final answer
    x = 4,556.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.