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Finding the Fourth Proportional to 3,779.79, 5,657.55 and 2,020.40

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Solution

The fourth proportional to 3,779.79, 5,657.55 and 2,020.40 is: 3,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.79 : 5,657.55 = 2,020.40 : x
  2. Step 2: Convert to fraction form
    3,779.79/5,657.55 = 2,020.40/x
  3. Step 3: Cross multiply
    3,779.79x = 5,657.55 × 2,020.40
  4. Step 4: Simplify right side
    3,779.79x = 11,430,485.73
  5. Step 5: Solve for x
    x = 11,430,485.73/3,779.79
  6. Step 6: Final answer
    x = 3,024.11

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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.