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Finding the Fourth Proportional to 5,059, 7,582.83 and 3,822.40

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Solution

The fourth proportional to 5,059, 7,582.83 and 3,822.40 is: 5,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059 : 7,582.83 = 3,822.40 : x
  2. Step 2: Convert to fraction form
    5,059/7,582.83 = 3,822.40/x
  3. Step 3: Cross multiply
    5,059x = 7,582.83 × 3,822.40
  4. Step 4: Simplify right side
    5,059x = 28,984,609.39
  5. Step 5: Solve for x
    x = 28,984,609.39/5,059
  6. Step 6: Final answer
    x = 5,729.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.