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Finding the Fourth Proportional to 6,211.95, 8,564.10 and 4,219.05

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Solution

The fourth proportional to 6,211.95, 8,564.10 and 4,219.05 is: 5,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.95 : 8,564.10 = 4,219.05 : x
  2. Step 2: Convert to fraction form
    6,211.95/8,564.10 = 4,219.05/x
  3. Step 3: Cross multiply
    6,211.95x = 8,564.10 × 4,219.05
  4. Step 4: Simplify right side
    6,211.95x = 36,132,366.11
  5. Step 5: Solve for x
    x = 36,132,366.11/6,211.95
  6. Step 6: Final answer
    x = 5,816.59

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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.