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Finding the Fourth Proportional to 5,283.20, 7,927.52 and 2,323.71

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Solution

The fourth proportional to 5,283.20, 7,927.52 and 2,323.71 is: 3,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.20 : 7,927.52 = 2,323.71 : x
  2. Step 2: Convert to fraction form
    5,283.20/7,927.52 = 2,323.71/x
  3. Step 3: Cross multiply
    5,283.20x = 7,927.52 × 2,323.71
  4. Step 4: Simplify right side
    5,283.20x = 18,421,245.88
  5. Step 5: Solve for x
    x = 18,421,245.88/5,283.20
  6. Step 6: Final answer
    x = 3,486.76

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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.