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Finding the Fourth Proportional to 5,492.90, 8,240.75 and 1,597.31

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Solution

The fourth proportional to 5,492.90, 8,240.75 and 1,597.31 is: 2,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.90 : 8,240.75 = 1,597.31 : x
  2. Step 2: Convert to fraction form
    5,492.90/8,240.75 = 1,597.31/x
  3. Step 3: Cross multiply
    5,492.90x = 8,240.75 × 1,597.31
  4. Step 4: Simplify right side
    5,492.90x = 13,162,995.17
  5. Step 5: Solve for x
    x = 13,162,995.17/5,492.90
  6. Step 6: Final answer
    x = 2,396.37

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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.