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Finding the Fourth Proportional to 3,298.05, 4,946.33 and 958.05

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Solution

The fourth proportional to 3,298.05, 4,946.33 and 958.05 is: 1,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.05 : 4,946.33 = 958.05 : x
  2. Step 2: Convert to fraction form
    3,298.05/4,946.33 = 958.05/x
  3. Step 3: Cross multiply
    3,298.05x = 4,946.33 × 958.05
  4. Step 4: Simplify right side
    3,298.05x = 4,738,826.67
  5. Step 5: Solve for x
    x = 4,738,826.67/3,298.05
  6. Step 6: Final answer
    x = 1,436.86

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Why These Related Problems?

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