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Finding the Fourth Proportional to 3,779.44, 5,666.37 and 2,024.38

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Solution

The fourth proportional to 3,779.44, 5,666.37 and 2,024.38 is: 3,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.44 : 5,666.37 = 2,024.38 : x
  2. Step 2: Convert to fraction form
    3,779.44/5,666.37 = 2,024.38/x
  3. Step 3: Cross multiply
    3,779.44x = 5,666.37 × 2,024.38
  4. Step 4: Simplify right side
    3,779.44x = 11,470,886.10
  5. Step 5: Solve for x
    x = 11,470,886.10/3,779.44
  6. Step 6: Final answer
    x = 3,035.08

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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.