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Finding the Fourth Proportional to 3,592.14, 5,388.30 and 995.28

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Solution

The fourth proportional to 3,592.14, 5,388.30 and 995.28 is: 1,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.14 : 5,388.30 = 995.28 : x
  2. Step 2: Convert to fraction form
    3,592.14/5,388.30 = 995.28/x
  3. Step 3: Cross multiply
    3,592.14x = 5,388.30 × 995.28
  4. Step 4: Simplify right side
    3,592.14x = 5,362,867.22
  5. Step 5: Solve for x
    x = 5,362,867.22/3,592.14
  6. Step 6: Final answer
    x = 1,492.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.