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Finding the Fourth Proportional to 4,856.74, 7,283.54 and 2,082.66

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Solution

The fourth proportional to 4,856.74, 7,283.54 and 2,082.66 is: 3,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.74 : 7,283.54 = 2,082.66 : x
  2. Step 2: Convert to fraction form
    4,856.74/7,283.54 = 2,082.66/x
  3. Step 3: Cross multiply
    4,856.74x = 7,283.54 × 2,082.66
  4. Step 4: Simplify right side
    4,856.74x = 15,169,137.42
  5. Step 5: Solve for x
    x = 15,169,137.42/4,856.74
  6. Step 6: Final answer
    x = 3,123.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.