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Finding the Fourth Proportional to 3,365.86, 4,645.14 and 1,874.08

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Solution

The fourth proportional to 3,365.86, 4,645.14 and 1,874.08 is: 2,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.86 : 4,645.14 = 1,874.08 : x
  2. Step 2: Convert to fraction form
    3,365.86/4,645.14 = 1,874.08/x
  3. Step 3: Cross multiply
    3,365.86x = 4,645.14 × 1,874.08
  4. Step 4: Simplify right side
    3,365.86x = 8,705,363.97
  5. Step 5: Solve for x
    x = 8,705,363.97/3,365.86
  6. Step 6: Final answer
    x = 2,586.37

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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.