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Finding the Fourth Proportional to 3,779.49, 5,216.54 and 2,101.49

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Solution

The fourth proportional to 3,779.49, 5,216.54 and 2,101.49 is: 2,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.49 : 5,216.54 = 2,101.49 : x
  2. Step 2: Convert to fraction form
    3,779.49/5,216.54 = 2,101.49/x
  3. Step 3: Cross multiply
    3,779.49x = 5,216.54 × 2,101.49
  4. Step 4: Simplify right side
    3,779.49x = 10,962,485.82
  5. Step 5: Solve for x
    x = 10,962,485.82/3,779.49
  6. Step 6: Final answer
    x = 2,900.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.