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Finding the Fourth Proportional to 3,894.89, 5,374.13 and 2,478.07

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Solution

The fourth proportional to 3,894.89, 5,374.13 and 2,478.07 is: 3,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.89 : 5,374.13 = 2,478.07 : x
  2. Step 2: Convert to fraction form
    3,894.89/5,374.13 = 2,478.07/x
  3. Step 3: Cross multiply
    3,894.89x = 5,374.13 × 2,478.07
  4. Step 4: Simplify right side
    3,894.89x = 13,317,443.46
  5. Step 5: Solve for x
    x = 13,317,443.46/3,894.89
  6. Step 6: Final answer
    x = 3,419.21

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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.