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Finding the Fourth Proportional to 4,604, 6,906.84 and 4,186.66

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Solution

The fourth proportional to 4,604, 6,906.84 and 4,186.66 is: 6,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604 : 6,906.84 = 4,186.66 : x
  2. Step 2: Convert to fraction form
    4,604/6,906.84 = 4,186.66/x
  3. Step 3: Cross multiply
    4,604x = 6,906.84 × 4,186.66
  4. Step 4: Simplify right side
    4,604x = 28,916,590.75
  5. Step 5: Solve for x
    x = 28,916,590.75/4,604
  6. Step 6: Final answer
    x = 6,280.75

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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.