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Finding the Fourth Proportional to 5,224.29, 7,840.07 and 2,301

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Solution

The fourth proportional to 5,224.29, 7,840.07 and 2,301 is: 3,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.29 : 7,840.07 = 2,301 : x
  2. Step 2: Convert to fraction form
    5,224.29/7,840.07 = 2,301/x
  3. Step 3: Cross multiply
    5,224.29x = 7,840.07 × 2,301
  4. Step 4: Simplify right side
    5,224.29x = 18,040,001.07
  5. Step 5: Solve for x
    x = 18,040,001.07/5,224.29
  6. Step 6: Final answer
    x = 3,453.10

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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.