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Finding the Fourth Proportional to 5,853.86, 8,077.76 and 3,335.78

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Solution

The fourth proportional to 5,853.86, 8,077.76 and 3,335.78 is: 4,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.86 : 8,077.76 = 3,335.78 : x
  2. Step 2: Convert to fraction form
    5,853.86/8,077.76 = 3,335.78/x
  3. Step 3: Cross multiply
    5,853.86x = 8,077.76 × 3,335.78
  4. Step 4: Simplify right side
    5,853.86x = 26,945,630.25
  5. Step 5: Solve for x
    x = 26,945,630.25/5,853.86
  6. Step 6: Final answer
    x = 4,603.05

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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.