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Finding the Fourth Proportional to 3,728.95, 5,593.32 and 955.51

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Solution

The fourth proportional to 3,728.95, 5,593.32 and 955.51 is: 1,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.95 : 5,593.32 = 955.51 : x
  2. Step 2: Convert to fraction form
    3,728.95/5,593.32 = 955.51/x
  3. Step 3: Cross multiply
    3,728.95x = 5,593.32 × 955.51
  4. Step 4: Simplify right side
    3,728.95x = 5,344,459.21
  5. Step 5: Solve for x
    x = 5,344,459.21/3,728.95
  6. Step 6: Final answer
    x = 1,433.24

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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.