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Finding the Fourth Proportional to 4,946.69, 7,418.15 and 1,614.06

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Solution

The fourth proportional to 4,946.69, 7,418.15 and 1,614.06 is: 2,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.69 : 7,418.15 = 1,614.06 : x
  2. Step 2: Convert to fraction form
    4,946.69/7,418.15 = 1,614.06/x
  3. Step 3: Cross multiply
    4,946.69x = 7,418.15 × 1,614.06
  4. Step 4: Simplify right side
    4,946.69x = 11,973,331.12
  5. Step 5: Solve for x
    x = 11,973,331.12/4,946.69
  6. Step 6: Final answer
    x = 2,420.48

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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.