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Finding the Fourth Proportional to 4,946.92, 6,826.53 and 2,958.58

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Solution

The fourth proportional to 4,946.92, 6,826.53 and 2,958.58 is: 4,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.92 : 6,826.53 = 2,958.58 : x
  2. Step 2: Convert to fraction form
    4,946.92/6,826.53 = 2,958.58/x
  3. Step 3: Cross multiply
    4,946.92x = 6,826.53 × 2,958.58
  4. Step 4: Simplify right side
    4,946.92x = 20,196,799.71
  5. Step 5: Solve for x
    x = 20,196,799.71/4,946.92
  6. Step 6: Final answer
    x = 4,082.70

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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.