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Finding the Fourth Proportional to 3,374.73, 4,657.16 and 1,958.72

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Solution

The fourth proportional to 3,374.73, 4,657.16 and 1,958.72 is: 2,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.73 : 4,657.16 = 1,958.72 : x
  2. Step 2: Convert to fraction form
    3,374.73/4,657.16 = 1,958.72/x
  3. Step 3: Cross multiply
    3,374.73x = 4,657.16 × 1,958.72
  4. Step 4: Simplify right side
    3,374.73x = 9,122,054.05
  5. Step 5: Solve for x
    x = 9,122,054.05/3,374.73
  6. Step 6: Final answer
    x = 2,703.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.