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Finding the Fourth Proportional to 4,308.91, 5,946.40 and 2,420.49

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Solution

The fourth proportional to 4,308.91, 5,946.40 and 2,420.49 is: 3,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.91 : 5,946.40 = 2,420.49 : x
  2. Step 2: Convert to fraction form
    4,308.91/5,946.40 = 2,420.49/x
  3. Step 3: Cross multiply
    4,308.91x = 5,946.40 × 2,420.49
  4. Step 4: Simplify right side
    4,308.91x = 14,393,201.74
  5. Step 5: Solve for x
    x = 14,393,201.74/4,308.91
  6. Step 6: Final answer
    x = 3,340.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.