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Finding the Fourth Proportional to 5,492.40, 7,576.80 and 3,396.24

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Solution

The fourth proportional to 5,492.40, 7,576.80 and 3,396.24 is: 4,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.40 : 7,576.80 = 3,396.24 : x
  2. Step 2: Convert to fraction form
    5,492.40/7,576.80 = 3,396.24/x
  3. Step 3: Cross multiply
    5,492.40x = 7,576.80 × 3,396.24
  4. Step 4: Simplify right side
    5,492.40x = 25,732,631.23
  5. Step 5: Solve for x
    x = 25,732,631.23/5,492.40
  6. Step 6: Final answer
    x = 4,685.13

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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.