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Finding the Fourth Proportional to 3,779.89, 5,671.76 and 1,699.47

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Solution

The fourth proportional to 3,779.89, 5,671.76 and 1,699.47 is: 2,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.89 : 5,671.76 = 1,699.47 : x
  2. Step 2: Convert to fraction form
    3,779.89/5,671.76 = 1,699.47/x
  3. Step 3: Cross multiply
    3,779.89x = 5,671.76 × 1,699.47
  4. Step 4: Simplify right side
    3,779.89x = 9,638,998.74
  5. Step 5: Solve for x
    x = 9,638,998.74/3,779.89
  6. Step 6: Final answer
    x = 2,550.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.