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Finding the Fourth Proportional to 4,952.49, 7,428.74 and 3,004.24

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Solution

The fourth proportional to 4,952.49, 7,428.74 and 3,004.24 is: 4,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.49 : 7,428.74 = 3,004.24 : x
  2. Step 2: Convert to fraction form
    4,952.49/7,428.74 = 3,004.24/x
  3. Step 3: Cross multiply
    4,952.49x = 7,428.74 × 3,004.24
  4. Step 4: Simplify right side
    4,952.49x = 22,317,706.64
  5. Step 5: Solve for x
    x = 22,317,706.64/4,952.49
  6. Step 6: Final answer
    x = 4,506.36

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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.