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Finding the Fourth Proportional to 5,492.81, 8,240.64 and 1,597.22

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Solution

The fourth proportional to 5,492.81, 8,240.64 and 1,597.22 is: 2,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.81 : 8,240.64 = 1,597.22 : x
  2. Step 2: Convert to fraction form
    5,492.81/8,240.64 = 1,597.22/x
  3. Step 3: Cross multiply
    5,492.81x = 8,240.64 × 1,597.22
  4. Step 4: Simplify right side
    5,492.81x = 13,162,098.73
  5. Step 5: Solve for x
    x = 13,162,098.73/5,492.81
  6. Step 6: Final answer
    x = 2,396.24

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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.