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Finding the Fourth Proportional to 3,665.40, 5,054.22 and 2,337

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Solution

The fourth proportional to 3,665.40, 5,054.22 and 2,337 is: 3,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.40 : 5,054.22 = 2,337 : x
  2. Step 2: Convert to fraction form
    3,665.40/5,054.22 = 2,337/x
  3. Step 3: Cross multiply
    3,665.40x = 5,054.22 × 2,337
  4. Step 4: Simplify right side
    3,665.40x = 11,811,712.14
  5. Step 5: Solve for x
    x = 11,811,712.14/3,665.40
  6. Step 6: Final answer
    x = 3,222.49

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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.