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Finding the Fourth Proportional to 4,813.98, 7,207.02 and 2,959.47

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Solution

The fourth proportional to 4,813.98, 7,207.02 and 2,959.47 is: 4,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.98 : 7,207.02 = 2,959.47 : x
  2. Step 2: Convert to fraction form
    4,813.98/7,207.02 = 2,959.47/x
  3. Step 3: Cross multiply
    4,813.98x = 7,207.02 × 2,959.47
  4. Step 4: Simplify right side
    4,813.98x = 21,328,959.48
  5. Step 5: Solve for x
    x = 21,328,959.48/4,813.98
  6. Step 6: Final answer
    x = 4,430.63

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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.