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Finding the Fourth Proportional to 4,582.22, 6,881.80 and 2,744.63

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Solution

The fourth proportional to 4,582.22, 6,881.80 and 2,744.63 is: 4,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.22 : 6,881.80 = 2,744.63 : x
  2. Step 2: Convert to fraction form
    4,582.22/6,881.80 = 2,744.63/x
  3. Step 3: Cross multiply
    4,582.22x = 6,881.80 × 2,744.63
  4. Step 4: Simplify right side
    4,582.22x = 18,887,994.73
  5. Step 5: Solve for x
    x = 18,887,994.73/4,582.22
  6. Step 6: Final answer
    x = 4,122.02

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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.