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Finding the Fourth Proportional to 4,978, 6,869.65 and 2,883.34

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Solution

The fourth proportional to 4,978, 6,869.65 and 2,883.34 is: 3,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 6,869.65 = 2,883.34 : x
  2. Step 2: Convert to fraction form
    4,978/6,869.65 = 2,883.34/x
  3. Step 3: Cross multiply
    4,978x = 6,869.65 × 2,883.34
  4. Step 4: Simplify right side
    4,978x = 19,807,536.63
  5. Step 5: Solve for x
    x = 19,807,536.63/4,978
  6. Step 6: Final answer
    x = 3,979.01

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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.