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Finding the Fourth Proportional to 5,335.92, 7,363.44 and 2,978.06

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Solution

The fourth proportional to 5,335.92, 7,363.44 and 2,978.06 is: 4,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.92 : 7,363.44 = 2,978.06 : x
  2. Step 2: Convert to fraction form
    5,335.92/7,363.44 = 2,978.06/x
  3. Step 3: Cross multiply
    5,335.92x = 7,363.44 × 2,978.06
  4. Step 4: Simplify right side
    5,335.92x = 21,928,729.31
  5. Step 5: Solve for x
    x = 21,928,729.31/5,335.92
  6. Step 6: Final answer
    x = 4,109.64

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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.