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Finding the Fourth Proportional to 4,432.54, 6,635.93 and 2,578

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Solution

The fourth proportional to 4,432.54, 6,635.93 and 2,578 is: 3,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.54 : 6,635.93 = 2,578 : x
  2. Step 2: Convert to fraction form
    4,432.54/6,635.93 = 2,578/x
  3. Step 3: Cross multiply
    4,432.54x = 6,635.93 × 2,578
  4. Step 4: Simplify right side
    4,432.54x = 17,107,427.54
  5. Step 5: Solve for x
    x = 17,107,427.54/4,432.54
  6. Step 6: Final answer
    x = 3,859.51

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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.