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Finding the Fourth Proportional to 3,905.25, 5,852.33 and 3,023.64

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Solution

The fourth proportional to 3,905.25, 5,852.33 and 3,023.64 is: 4,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.25 : 5,852.33 = 3,023.64 : x
  2. Step 2: Convert to fraction form
    3,905.25/5,852.33 = 3,023.64/x
  3. Step 3: Cross multiply
    3,905.25x = 5,852.33 × 3,023.64
  4. Step 4: Simplify right side
    3,905.25x = 17,695,323.96
  5. Step 5: Solve for x
    x = 17,695,323.96/3,905.25
  6. Step 6: Final answer
    x = 4,531.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.