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Finding the Fourth Proportional to 5,903.44, 8,145.44 and 3,418

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Solution

The fourth proportional to 5,903.44, 8,145.44 and 3,418 is: 4,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.44 : 8,145.44 = 3,418 : x
  2. Step 2: Convert to fraction form
    5,903.44/8,145.44 = 3,418/x
  3. Step 3: Cross multiply
    5,903.44x = 8,145.44 × 3,418
  4. Step 4: Simplify right side
    5,903.44x = 27,841,113.92
  5. Step 5: Solve for x
    x = 27,841,113.92/5,903.44
  6. Step 6: Final answer
    x = 4,716.08

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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.