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Finding the Fourth Proportional to 5,291.05, 7,301.31 and 2,933

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Solution

The fourth proportional to 5,291.05, 7,301.31 and 2,933 is: 4,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.05 : 7,301.31 = 2,933 : x
  2. Step 2: Convert to fraction form
    5,291.05/7,301.31 = 2,933/x
  3. Step 3: Cross multiply
    5,291.05x = 7,301.31 × 2,933
  4. Step 4: Simplify right side
    5,291.05x = 21,414,742.23
  5. Step 5: Solve for x
    x = 21,414,742.23/5,291.05
  6. Step 6: Final answer
    x = 4,047.36

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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.