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Finding the Fourth Proportional to 3,779.60, 5,674.80 and 2,139.35

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Solution

The fourth proportional to 3,779.60, 5,674.80 and 2,139.35 is: 3,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.60 : 5,674.80 = 2,139.35 : x
  2. Step 2: Convert to fraction form
    3,779.60/5,674.80 = 2,139.35/x
  3. Step 3: Cross multiply
    3,779.60x = 5,674.80 × 2,139.35
  4. Step 4: Simplify right side
    3,779.60x = 12,140,383.38
  5. Step 5: Solve for x
    x = 12,140,383.38/3,779.60
  6. Step 6: Final answer
    x = 3,212.08

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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.