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Finding the Fourth Proportional to 5,194.85, 7,827.35 and 4,290.66

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Solution

The fourth proportional to 5,194.85, 7,827.35 and 4,290.66 is: 6,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.85 : 7,827.35 = 4,290.66 : x
  2. Step 2: Convert to fraction form
    5,194.85/7,827.35 = 4,290.66/x
  3. Step 3: Cross multiply
    5,194.85x = 7,827.35 × 4,290.66
  4. Step 4: Simplify right side
    5,194.85x = 33,584,505.45
  5. Step 5: Solve for x
    x = 33,584,505.45/5,194.85
  6. Step 6: Final answer
    x = 6,464.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.