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Finding the Fourth Proportional to 4,881.42, 7,322.13 and 1,183.59

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Solution

The fourth proportional to 4,881.42, 7,322.13 and 1,183.59 is: 1,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.42 : 7,322.13 = 1,183.59 : x
  2. Step 2: Convert to fraction form
    4,881.42/7,322.13 = 1,183.59/x
  3. Step 3: Cross multiply
    4,881.42x = 7,322.13 × 1,183.59
  4. Step 4: Simplify right side
    4,881.42x = 8,666,399.85
  5. Step 5: Solve for x
    x = 8,666,399.85/4,881.42
  6. Step 6: Final answer
    x = 1,775.39

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