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Finding the Fourth Proportional to 3,455.66, 5,183.40 and 1,346.70

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Solution

The fourth proportional to 3,455.66, 5,183.40 and 1,346.70 is: 2,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.66 : 5,183.40 = 1,346.70 : x
  2. Step 2: Convert to fraction form
    3,455.66/5,183.40 = 1,346.70/x
  3. Step 3: Cross multiply
    3,455.66x = 5,183.40 × 1,346.70
  4. Step 4: Simplify right side
    3,455.66x = 6,980,484.78
  5. Step 5: Solve for x
    x = 6,980,484.78/3,455.66
  6. Step 6: Final answer
    x = 2,020.01

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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.