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Finding the Fourth Proportional to 5,301.54, 7,309.17 and 4,563.42

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Solution

The fourth proportional to 5,301.54, 7,309.17 and 4,563.42 is: 6,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.54 : 7,309.17 = 4,563.42 : x
  2. Step 2: Convert to fraction form
    5,301.54/7,309.17 = 4,563.42/x
  3. Step 3: Cross multiply
    5,301.54x = 7,309.17 × 4,563.42
  4. Step 4: Simplify right side
    5,301.54x = 33,354,812.56
  5. Step 5: Solve for x
    x = 33,354,812.56/5,301.54
  6. Step 6: Final answer
    x = 6,291.53

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1.5x scale

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.