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Finding the Fourth Proportional to 3,260.01, 4,498.83 and 3,142.29

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Solution

The fourth proportional to 3,260.01, 4,498.83 and 3,142.29 is: 4,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.01 : 4,498.83 = 3,142.29 : x
  2. Step 2: Convert to fraction form
    3,260.01/4,498.83 = 3,142.29/x
  3. Step 3: Cross multiply
    3,260.01x = 4,498.83 × 3,142.29
  4. Step 4: Simplify right side
    3,260.01x = 14,136,628.52
  5. Step 5: Solve for x
    x = 14,136,628.52/3,260.01
  6. Step 6: Final answer
    x = 4,336.38

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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.