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Finding the Fourth Proportional to 6,211.76, 8,573.00 and 3,854.25

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Solution

The fourth proportional to 6,211.76, 8,573.00 and 3,854.25 is: 5,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.76 : 8,573.00 = 3,854.25 : x
  2. Step 2: Convert to fraction form
    6,211.76/8,573.00 = 3,854.25/x
  3. Step 3: Cross multiply
    6,211.76x = 8,573.00 × 3,854.25
  4. Step 4: Simplify right side
    6,211.76x = 33,042,465.98
  5. Step 5: Solve for x
    x = 33,042,465.98/6,211.76
  6. Step 6: Final answer
    x = 5,319.34

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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.