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Finding the Fourth Proportional to 3,658.36, 5,047.26 and 2,539

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Solution

The fourth proportional to 3,658.36, 5,047.26 and 2,539 is: 3,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.36 : 5,047.26 = 2,539 : x
  2. Step 2: Convert to fraction form
    3,658.36/5,047.26 = 2,539/x
  3. Step 3: Cross multiply
    3,658.36x = 5,047.26 × 2,539
  4. Step 4: Simplify right side
    3,658.36x = 12,814,993.14
  5. Step 5: Solve for x
    x = 12,814,993.14/3,658.36
  6. Step 6: Final answer
    x = 3,502.93

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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.