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Finding the Fourth Proportional to 5,620.74, 8,433.30 and 2,333

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Solution

The fourth proportional to 5,620.74, 8,433.30 and 2,333 is: 3,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.74 : 8,433.30 = 2,333 : x
  2. Step 2: Convert to fraction form
    5,620.74/8,433.30 = 2,333/x
  3. Step 3: Cross multiply
    5,620.74x = 8,433.30 × 2,333
  4. Step 4: Simplify right side
    5,620.74x = 19,674,888.90
  5. Step 5: Solve for x
    x = 19,674,888.90/5,620.74
  6. Step 6: Final answer
    x = 3,500.41

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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.