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Finding the Fourth Proportional to 4,706.86, 7,054.81 and 3,462.75

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Solution

The fourth proportional to 4,706.86, 7,054.81 and 3,462.75 is: 5,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.86 : 7,054.81 = 3,462.75 : x
  2. Step 2: Convert to fraction form
    4,706.86/7,054.81 = 3,462.75/x
  3. Step 3: Cross multiply
    4,706.86x = 7,054.81 × 3,462.75
  4. Step 4: Simplify right side
    4,706.86x = 24,429,034.67
  5. Step 5: Solve for x
    x = 24,429,034.67/4,706.86
  6. Step 6: Final answer
    x = 5,190.09

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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.