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Finding the Fourth Proportional to 5,335.95, 7,364.02 and 2,978.44

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Solution

The fourth proportional to 5,335.95, 7,364.02 and 2,978.44 is: 4,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.95 : 7,364.02 = 2,978.44 : x
  2. Step 2: Convert to fraction form
    5,335.95/7,364.02 = 2,978.44/x
  3. Step 3: Cross multiply
    5,335.95x = 7,364.02 × 2,978.44
  4. Step 4: Simplify right side
    5,335.95x = 21,933,291.73
  5. Step 5: Solve for x
    x = 21,933,291.73/5,335.95
  6. Step 6: Final answer
    x = 4,110.48

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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.