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Finding the Fourth Proportional to 3,542.48, 4,889.44 and 2,364

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Solution

The fourth proportional to 3,542.48, 4,889.44 and 2,364 is: 3,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.48 : 4,889.44 = 2,364 : x
  2. Step 2: Convert to fraction form
    3,542.48/4,889.44 = 2,364/x
  3. Step 3: Cross multiply
    3,542.48x = 4,889.44 × 2,364
  4. Step 4: Simplify right side
    3,542.48x = 11,558,636.16
  5. Step 5: Solve for x
    x = 11,558,636.16/3,542.48
  6. Step 6: Final answer
    x = 3,262.87

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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.