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Finding the Fourth Proportional to 4,881, 7,322.26 and 1,593.32

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Solution

The fourth proportional to 4,881, 7,322.26 and 1,593.32 is: 2,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881 : 7,322.26 = 1,593.32 : x
  2. Step 2: Convert to fraction form
    4,881/7,322.26 = 1,593.32/x
  3. Step 3: Cross multiply
    4,881x = 7,322.26 × 1,593.32
  4. Step 4: Simplify right side
    4,881x = 11,666,703.30
  5. Step 5: Solve for x
    x = 11,666,703.30/4,881
  6. Step 6: Final answer
    x = 2,390.23

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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.