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Finding the Fourth Proportional to 4,383, 6,577.38 and 2,074.68

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Solution

The fourth proportional to 4,383, 6,577.38 and 2,074.68 is: 3,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383 : 6,577.38 = 2,074.68 : x
  2. Step 2: Convert to fraction form
    4,383/6,577.38 = 2,074.68/x
  3. Step 3: Cross multiply
    4,383x = 6,577.38 × 2,074.68
  4. Step 4: Simplify right side
    4,383x = 13,645,958.74
  5. Step 5: Solve for x
    x = 13,645,958.74/4,383
  6. Step 6: Final answer
    x = 3,113.38

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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.