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Finding the Fourth Proportional to 3,779.15, 5,669.63 and 1,829.07

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Solution

The fourth proportional to 3,779.15, 5,669.63 and 1,829.07 is: 2,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.15 : 5,669.63 = 1,829.07 : x
  2. Step 2: Convert to fraction form
    3,779.15/5,669.63 = 1,829.07/x
  3. Step 3: Cross multiply
    3,779.15x = 5,669.63 × 1,829.07
  4. Step 4: Simplify right side
    3,779.15x = 10,370,141.00
  5. Step 5: Solve for x
    x = 10,370,141.00/3,779.15
  6. Step 6: Final answer
    x = 2,744.04

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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.