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Finding the Fourth Proportional to 4,645.62, 6,968.40 and 1,358.96

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Solution

The fourth proportional to 4,645.62, 6,968.40 and 1,358.96 is: 2,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.62 : 6,968.40 = 1,358.96 : x
  2. Step 2: Convert to fraction form
    4,645.62/6,968.40 = 1,358.96/x
  3. Step 3: Cross multiply
    4,645.62x = 6,968.40 × 1,358.96
  4. Step 4: Simplify right side
    4,645.62x = 9,469,776.86
  5. Step 5: Solve for x
    x = 9,469,776.86/4,645.62
  6. Step 6: Final answer
    x = 2,038.43

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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.