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Finding the Fourth Proportional to 4,650.42, 6,966.84 and 3,605.31

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Solution

The fourth proportional to 4,650.42, 6,966.84 and 3,605.31 is: 5,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.42 : 6,966.84 = 3,605.31 : x
  2. Step 2: Convert to fraction form
    4,650.42/6,966.84 = 3,605.31/x
  3. Step 3: Cross multiply
    4,650.42x = 6,966.84 × 3,605.31
  4. Step 4: Simplify right side
    4,650.42x = 25,117,617.92
  5. Step 5: Solve for x
    x = 25,117,617.92/4,650.42
  6. Step 6: Final answer
    x = 5,401.15

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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.