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Finding the Fourth Proportional to 4,116.87, 6,174 and 3,458.93

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Solution

The fourth proportional to 4,116.87, 6,174 and 3,458.93 is: 5,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.87 : 6,174 = 3,458.93 : x
  2. Step 2: Convert to fraction form
    4,116.87/6,174 = 3,458.93/x
  3. Step 3: Cross multiply
    4,116.87x = 6,174 × 3,458.93
  4. Step 4: Simplify right side
    4,116.87x = 21,355,402.95
  5. Step 5: Solve for x
    x = 21,355,402.95/4,116.87
  6. Step 6: Final answer
    x = 5,187.29

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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.