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Finding the Fourth Proportional to 4,970.44, 6,861.18 and 3,082.42

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Solution

The fourth proportional to 4,970.44, 6,861.18 and 3,082.42 is: 4,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.44 : 6,861.18 = 3,082.42 : x
  2. Step 2: Convert to fraction form
    4,970.44/6,861.18 = 3,082.42/x
  3. Step 3: Cross multiply
    4,970.44x = 6,861.18 × 3,082.42
  4. Step 4: Simplify right side
    4,970.44x = 21,149,038.46
  5. Step 5: Solve for x
    x = 21,149,038.46/4,970.44
  6. Step 6: Final answer
    x = 4,254.96

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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.