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Finding the Fourth Proportional to 5,449.70, 8,174.63 and 1,345.70

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Solution

The fourth proportional to 5,449.70, 8,174.63 and 1,345.70 is: 2,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.70 : 8,174.63 = 1,345.70 : x
  2. Step 2: Convert to fraction form
    5,449.70/8,174.63 = 1,345.70/x
  3. Step 3: Cross multiply
    5,449.70x = 8,174.63 × 1,345.70
  4. Step 4: Simplify right side
    5,449.70x = 11,000,599.59
  5. Step 5: Solve for x
    x = 11,000,599.59/5,449.70
  6. Step 6: Final answer
    x = 2,018.57

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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.