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Finding the Fourth Proportional to 3,886.85, 5,802.06 and 3,597.75

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Solution

The fourth proportional to 3,886.85, 5,802.06 and 3,597.75 is: 5,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.85 : 5,802.06 = 3,597.75 : x
  2. Step 2: Convert to fraction form
    3,886.85/5,802.06 = 3,597.75/x
  3. Step 3: Cross multiply
    3,886.85x = 5,802.06 × 3,597.75
  4. Step 4: Simplify right side
    3,886.85x = 20,874,361.37
  5. Step 5: Solve for x
    x = 20,874,361.37/3,886.85
  6. Step 6: Final answer
    x = 5,370.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.