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Finding the Fourth Proportional to 3,779.90, 5,671.44 and 2,024.45

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Solution

The fourth proportional to 3,779.90, 5,671.44 and 2,024.45 is: 3,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.90 : 5,671.44 = 2,024.45 : x
  2. Step 2: Convert to fraction form
    3,779.90/5,671.44 = 2,024.45/x
  3. Step 3: Cross multiply
    3,779.90x = 5,671.44 × 2,024.45
  4. Step 4: Simplify right side
    3,779.90x = 11,481,518.35
  5. Step 5: Solve for x
    x = 11,481,518.35/3,779.90
  6. Step 6: Final answer
    x = 3,037.52

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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.