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Finding the Fourth Proportional to 3,779.38, 5,660.43 and 1,806.40

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Solution

The fourth proportional to 3,779.38, 5,660.43 and 1,806.40 is: 2,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.38 : 5,660.43 = 1,806.40 : x
  2. Step 2: Convert to fraction form
    3,779.38/5,660.43 = 1,806.40/x
  3. Step 3: Cross multiply
    3,779.38x = 5,660.43 × 1,806.40
  4. Step 4: Simplify right side
    3,779.38x = 10,225,011.21
  5. Step 5: Solve for x
    x = 10,225,011.21/3,779.38
  6. Step 6: Final answer
    x = 2,705.47

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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.