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Finding the Fourth Proportional to 5,242.03, 7,864.49 and 2,321.03

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Solution

The fourth proportional to 5,242.03, 7,864.49 and 2,321.03 is: 3,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.03 : 7,864.49 = 2,321.03 : x
  2. Step 2: Convert to fraction form
    5,242.03/7,864.49 = 2,321.03/x
  3. Step 3: Cross multiply
    5,242.03x = 7,864.49 × 2,321.03
  4. Step 4: Simplify right side
    5,242.03x = 18,253,742.69
  5. Step 5: Solve for x
    x = 18,253,742.69/5,242.03
  6. Step 6: Final answer
    x = 3,482.19

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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.