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Finding the Fourth Proportional to 4,706.11, 7,053.68 and 3,462.00

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Solution

The fourth proportional to 4,706.11, 7,053.68 and 3,462.00 is: 5,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.11 : 7,053.68 = 3,462.00 : x
  2. Step 2: Convert to fraction form
    4,706.11/7,053.68 = 3,462.00/x
  3. Step 3: Cross multiply
    4,706.11x = 7,053.68 × 3,462.00
  4. Step 4: Simplify right side
    4,706.11x = 24,419,842.20
  5. Step 5: Solve for x
    x = 24,419,842.20/4,706.11
  6. Step 6: Final answer
    x = 5,188.97

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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.