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Finding the Fourth Proportional to 5,309.51, 7,968.33 and 2,023.52

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Solution

The fourth proportional to 5,309.51, 7,968.33 and 2,023.52 is: 3,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.51 : 7,968.33 = 2,023.52 : x
  2. Step 2: Convert to fraction form
    5,309.51/7,968.33 = 2,023.52/x
  3. Step 3: Cross multiply
    5,309.51x = 7,968.33 × 2,023.52
  4. Step 4: Simplify right side
    5,309.51x = 16,124,035.28
  5. Step 5: Solve for x
    x = 16,124,035.28/5,309.51
  6. Step 6: Final answer
    x = 3,036.82

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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.