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Finding the Fourth Proportional to 5,046, 6,964.44 and 2,838

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Solution

The fourth proportional to 5,046, 6,964.44 and 2,838 is: 3,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046 : 6,964.44 = 2,838 : x
  2. Step 2: Convert to fraction form
    5,046/6,964.44 = 2,838/x
  3. Step 3: Cross multiply
    5,046x = 6,964.44 × 2,838
  4. Step 4: Simplify right side
    5,046x = 19,765,080.72
  5. Step 5: Solve for x
    x = 19,765,080.72/5,046
  6. Step 6: Final answer
    x = 3,916.98

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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.