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Finding the Fourth Proportional to 3,738.33, 5,607.50 and 965.01

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Solution

The fourth proportional to 3,738.33, 5,607.50 and 965.01 is: 1,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.33 : 5,607.50 = 965.01 : x
  2. Step 2: Convert to fraction form
    3,738.33/5,607.50 = 965.01/x
  3. Step 3: Cross multiply
    3,738.33x = 5,607.50 × 965.01
  4. Step 4: Simplify right side
    3,738.33x = 5,411,293.58
  5. Step 5: Solve for x
    x = 5,411,293.58/3,738.33
  6. Step 6: Final answer
    x = 1,447.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.