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Finding the Fourth Proportional to 4,259.41, 5,878 and 2,396.41

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Solution

The fourth proportional to 4,259.41, 5,878 and 2,396.41 is: 3,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.41 : 5,878 = 2,396.41 : x
  2. Step 2: Convert to fraction form
    4,259.41/5,878 = 2,396.41/x
  3. Step 3: Cross multiply
    4,259.41x = 5,878 × 2,396.41
  4. Step 4: Simplify right side
    4,259.41x = 14,086,097.98
  5. Step 5: Solve for x
    x = 14,086,097.98/4,259.41
  6. Step 6: Final answer
    x = 3,307.05

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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.