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Finding the Fourth Proportional to 5,336.16, 7,363.02 and 2,978.30

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Solution

The fourth proportional to 5,336.16, 7,363.02 and 2,978.30 is: 4,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.16 : 7,363.02 = 2,978.30 : x
  2. Step 2: Convert to fraction form
    5,336.16/7,363.02 = 2,978.30/x
  3. Step 3: Cross multiply
    5,336.16x = 7,363.02 × 2,978.30
  4. Step 4: Simplify right side
    5,336.16x = 21,929,282.47
  5. Step 5: Solve for x
    x = 21,929,282.47/5,336.16
  6. Step 6: Final answer
    x = 4,109.56

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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.