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Finding the Fourth Proportional to 3,455.95, 5,183.93 and 858.89

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Solution

The fourth proportional to 3,455.95, 5,183.93 and 858.89 is: 1,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.95 : 5,183.93 = 858.89 : x
  2. Step 2: Convert to fraction form
    3,455.95/5,183.93 = 858.89/x
  3. Step 3: Cross multiply
    3,455.95x = 5,183.93 × 858.89
  4. Step 4: Simplify right side
    3,455.95x = 4,452,421.34
  5. Step 5: Solve for x
    x = 4,452,421.34/3,455.95
  6. Step 6: Final answer
    x = 1,288.34

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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.