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Finding the Fourth Proportional to 5,300.32, 7,941.68 and 3,244

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Solution

The fourth proportional to 5,300.32, 7,941.68 and 3,244 is: 4,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.32 : 7,941.68 = 3,244 : x
  2. Step 2: Convert to fraction form
    5,300.32/7,941.68 = 3,244/x
  3. Step 3: Cross multiply
    5,300.32x = 7,941.68 × 3,244
  4. Step 4: Simplify right side
    5,300.32x = 25,762,809.92
  5. Step 5: Solve for x
    x = 25,762,809.92/5,300.32
  6. Step 6: Final answer
    x = 4,860.61

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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.