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Finding the Fourth Proportional to 3,779.92, 5,216.57 and 2,101.63

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Solution

The fourth proportional to 3,779.92, 5,216.57 and 2,101.63 is: 2,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.92 : 5,216.57 = 2,101.63 : x
  2. Step 2: Convert to fraction form
    3,779.92/5,216.57 = 2,101.63/x
  3. Step 3: Cross multiply
    3,779.92x = 5,216.57 × 2,101.63
  4. Step 4: Simplify right side
    3,779.92x = 10,963,300.01
  5. Step 5: Solve for x
    x = 10,963,300.01/3,779.92
  6. Step 6: Final answer
    x = 2,900.41

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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.