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Finding the Fourth Proportional to 5,026.12, 6,933.66 and 2,929

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Solution

The fourth proportional to 5,026.12, 6,933.66 and 2,929 is: 4,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.12 : 6,933.66 = 2,929 : x
  2. Step 2: Convert to fraction form
    5,026.12/6,933.66 = 2,929/x
  3. Step 3: Cross multiply
    5,026.12x = 6,933.66 × 2,929
  4. Step 4: Simplify right side
    5,026.12x = 20,308,690.14
  5. Step 5: Solve for x
    x = 20,308,690.14/5,026.12
  6. Step 6: Final answer
    x = 4,040.63

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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.