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Finding the Fourth Proportional to 3,830.66, 5,288.33 and 2,578.30

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Solution

The fourth proportional to 3,830.66, 5,288.33 and 2,578.30 is: 3,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.66 : 5,288.33 = 2,578.30 : x
  2. Step 2: Convert to fraction form
    3,830.66/5,288.33 = 2,578.30/x
  3. Step 3: Cross multiply
    3,830.66x = 5,288.33 × 2,578.30
  4. Step 4: Simplify right side
    3,830.66x = 13,634,924.21
  5. Step 5: Solve for x
    x = 13,634,924.21/3,830.66
  6. Step 6: Final answer
    x = 3,559.41

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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.