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Finding the Fourth Proportional to 6,335.79, 9,495.41 and 3,407.79

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Solution

The fourth proportional to 6,335.79, 9,495.41 and 3,407.79 is: 5,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.79 : 9,495.41 = 3,407.79 : x
  2. Step 2: Convert to fraction form
    6,335.79/9,495.41 = 3,407.79/x
  3. Step 3: Cross multiply
    6,335.79x = 9,495.41 × 3,407.79
  4. Step 4: Simplify right side
    6,335.79x = 32,358,346.20
  5. Step 5: Solve for x
    x = 32,358,346.20/6,335.79
  6. Step 6: Final answer
    x = 5,107.23

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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.