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Finding the Fourth Proportional to 3,589.90, 4,955.78 and 2,097.34

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Solution

The fourth proportional to 3,589.90, 4,955.78 and 2,097.34 is: 2,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.90 : 4,955.78 = 2,097.34 : x
  2. Step 2: Convert to fraction form
    3,589.90/4,955.78 = 2,097.34/x
  3. Step 3: Cross multiply
    3,589.90x = 4,955.78 × 2,097.34
  4. Step 4: Simplify right side
    3,589.90x = 10,393,955.63
  5. Step 5: Solve for x
    x = 10,393,955.63/3,589.90
  6. Step 6: Final answer
    x = 2,895.33

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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.