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Finding the Fourth Proportional to 5,492.96, 8,239.37 and 1,333

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Solution

The fourth proportional to 5,492.96, 8,239.37 and 1,333 is: 1,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.96 : 8,239.37 = 1,333 : x
  2. Step 2: Convert to fraction form
    5,492.96/8,239.37 = 1,333/x
  3. Step 3: Cross multiply
    5,492.96x = 8,239.37 × 1,333
  4. Step 4: Simplify right side
    5,492.96x = 10,983,080.21
  5. Step 5: Solve for x
    x = 10,983,080.21/5,492.96
  6. Step 6: Final answer
    x = 1,999.48

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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.