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Finding the Fourth Proportional to 5,930.76, 8,898.24 and 2,643.54

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Solution

The fourth proportional to 5,930.76, 8,898.24 and 2,643.54 is: 3,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.76 : 8,898.24 = 2,643.54 : x
  2. Step 2: Convert to fraction form
    5,930.76/8,898.24 = 2,643.54/x
  3. Step 3: Cross multiply
    5,930.76x = 8,898.24 × 2,643.54
  4. Step 4: Simplify right side
    5,930.76x = 23,522,853.37
  5. Step 5: Solve for x
    x = 23,522,853.37/5,930.76
  6. Step 6: Final answer
    x = 3,966.25

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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.