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Finding the Fourth Proportional to 6,335.21, 8,742.58 and 3,540.71

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Solution

The fourth proportional to 6,335.21, 8,742.58 and 3,540.71 is: 4,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.21 : 8,742.58 = 3,540.71 : x
  2. Step 2: Convert to fraction form
    6,335.21/8,742.58 = 3,540.71/x
  3. Step 3: Cross multiply
    6,335.21x = 8,742.58 × 3,540.71
  4. Step 4: Simplify right side
    6,335.21x = 30,954,887.87
  5. Step 5: Solve for x
    x = 30,954,887.87/6,335.21
  6. Step 6: Final answer
    x = 4,886.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.