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Finding the Fourth Proportional to 4,309.00, 5,946.11 and 2,420.48

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Solution

The fourth proportional to 4,309.00, 5,946.11 and 2,420.48 is: 3,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.00 : 5,946.11 = 2,420.48 : x
  2. Step 2: Convert to fraction form
    4,309.00/5,946.11 = 2,420.48/x
  3. Step 3: Cross multiply
    4,309.00x = 5,946.11 × 2,420.48
  4. Step 4: Simplify right side
    4,309.00x = 14,392,452.17
  5. Step 5: Solve for x
    x = 14,392,452.17/4,309.00
  6. Step 6: Final answer
    x = 3,340.09

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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.