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Finding the Fourth Proportional to 4,309.54, 5,946.82 and 2,420.75

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Solution

The fourth proportional to 4,309.54, 5,946.82 and 2,420.75 is: 3,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.54 : 5,946.82 = 2,420.75 : x
  2. Step 2: Convert to fraction form
    4,309.54/5,946.82 = 2,420.75/x
  3. Step 3: Cross multiply
    4,309.54x = 5,946.82 × 2,420.75
  4. Step 4: Simplify right side
    4,309.54x = 14,395,773.33
  5. Step 5: Solve for x
    x = 14,395,773.33/4,309.54
  6. Step 6: Final answer
    x = 3,340.45

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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.