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Finding the Fourth Proportional to 7,219.57, 10,830.57 and 2,539.39

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Solution

The fourth proportional to 7,219.57, 10,830.57 and 2,539.39 is: 3,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.57 : 10,830.57 = 2,539.39 : x
  2. Step 2: Convert to fraction form
    7,219.57/10,830.57 = 2,539.39/x
  3. Step 3: Cross multiply
    7,219.57x = 10,830.57 × 2,539.39
  4. Step 4: Simplify right side
    7,219.57x = 27,503,041.15
  5. Step 5: Solve for x
    x = 27,503,041.15/7,219.57
  6. Step 6: Final answer
    x = 3,809.51

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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.