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Finding the Fourth Proportional to 3,403.86, 4,697.83 and 2,078.33

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Solution

The fourth proportional to 3,403.86, 4,697.83 and 2,078.33 is: 2,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.86 : 4,697.83 = 2,078.33 : x
  2. Step 2: Convert to fraction form
    3,403.86/4,697.83 = 2,078.33/x
  3. Step 3: Cross multiply
    3,403.86x = 4,697.83 × 2,078.33
  4. Step 4: Simplify right side
    3,403.86x = 9,763,641.02
  5. Step 5: Solve for x
    x = 9,763,641.02/3,403.86
  6. Step 6: Final answer
    x = 2,868.40

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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.