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Finding the Fourth Proportional to 3,801.90, 5,699.48 and 2,047.86

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Solution

The fourth proportional to 3,801.90, 5,699.48 and 2,047.86 is: 3,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.90 : 5,699.48 = 2,047.86 : x
  2. Step 2: Convert to fraction form
    3,801.90/5,699.48 = 2,047.86/x
  3. Step 3: Cross multiply
    3,801.90x = 5,699.48 × 2,047.86
  4. Step 4: Simplify right side
    3,801.90x = 11,671,737.11
  5. Step 5: Solve for x
    x = 11,671,737.11/3,801.90
  6. Step 6: Final answer
    x = 3,069.97

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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.