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Finding the Fourth Proportional to 3,852.57, 5,779.17 and 1,220.25

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Solution

The fourth proportional to 3,852.57, 5,779.17 and 1,220.25 is: 1,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.57 : 5,779.17 = 1,220.25 : x
  2. Step 2: Convert to fraction form
    3,852.57/5,779.17 = 1,220.25/x
  3. Step 3: Cross multiply
    3,852.57x = 5,779.17 × 1,220.25
  4. Step 4: Simplify right side
    3,852.57x = 7,052,032.19
  5. Step 5: Solve for x
    x = 7,052,032.19/3,852.57
  6. Step 6: Final answer
    x = 1,830.47

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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.