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Finding the Fourth Proportional to 3,585.74, 5,405.22 and 3,274.32

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Solution

The fourth proportional to 3,585.74, 5,405.22 and 3,274.32 is: 4,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.74 : 5,405.22 = 3,274.32 : x
  2. Step 2: Convert to fraction form
    3,585.74/5,405.22 = 3,274.32/x
  3. Step 3: Cross multiply
    3,585.74x = 5,405.22 × 3,274.32
  4. Step 4: Simplify right side
    3,585.74x = 17,698,419.95
  5. Step 5: Solve for x
    x = 17,698,419.95/3,585.74
  6. Step 6: Final answer
    x = 4,935.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.