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Finding the Fourth Proportional to 4,709, 6,498.96 and 2,846

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Solution

The fourth proportional to 4,709, 6,498.96 and 2,846 is: 3,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709 : 6,498.96 = 2,846 : x
  2. Step 2: Convert to fraction form
    4,709/6,498.96 = 2,846/x
  3. Step 3: Cross multiply
    4,709x = 6,498.96 × 2,846
  4. Step 4: Simplify right side
    4,709x = 18,496,040.16
  5. Step 5: Solve for x
    x = 18,496,040.16/4,709
  6. Step 6: Final answer
    x = 3,927.81

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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.