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Finding the Fourth Proportional to 4,040, 5,575.68 and 2,645.84

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Solution

The fourth proportional to 4,040, 5,575.68 and 2,645.84 is: 3,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040 : 5,575.68 = 2,645.84 : x
  2. Step 2: Convert to fraction form
    4,040/5,575.68 = 2,645.84/x
  3. Step 3: Cross multiply
    4,040x = 5,575.68 × 2,645.84
  4. Step 4: Simplify right side
    4,040x = 14,752,357.17
  5. Step 5: Solve for x
    x = 14,752,357.17/4,040
  6. Step 6: Final answer
    x = 3,651.57

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