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Finding the Fourth Proportional to 6,494.54, 9,742.06 and 3,719.95

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Solution

The fourth proportional to 6,494.54, 9,742.06 and 3,719.95 is: 5,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.54 : 9,742.06 = 3,719.95 : x
  2. Step 2: Convert to fraction form
    6,494.54/9,742.06 = 3,719.95/x
  3. Step 3: Cross multiply
    6,494.54x = 9,742.06 × 3,719.95
  4. Step 4: Simplify right side
    6,494.54x = 36,239,978.56
  5. Step 5: Solve for x
    x = 36,239,978.56/6,494.54
  6. Step 6: Final answer
    x = 5,580.07

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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.