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Finding the Fourth Proportional to 5,313.51, 7,967.03 and 2,023.09

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Solution

The fourth proportional to 5,313.51, 7,967.03 and 2,023.09 is: 3,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.51 : 7,967.03 = 2,023.09 : x
  2. Step 2: Convert to fraction form
    5,313.51/7,967.03 = 2,023.09/x
  3. Step 3: Cross multiply
    5,313.51x = 7,967.03 × 2,023.09
  4. Step 4: Simplify right side
    5,313.51x = 16,117,988.69
  5. Step 5: Solve for x
    x = 16,117,988.69/5,313.51
  6. Step 6: Final answer
    x = 3,033.40

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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.