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Finding the Fourth Proportional to 3,004.16, 4,506.24 and 952

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Solution

The fourth proportional to 3,004.16, 4,506.24 and 952 is: 1,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.16 : 4,506.24 = 952 : x
  2. Step 2: Convert to fraction form
    3,004.16/4,506.24 = 952/x
  3. Step 3: Cross multiply
    3,004.16x = 4,506.24 × 952
  4. Step 4: Simplify right side
    3,004.16x = 4,289,940.48
  5. Step 5: Solve for x
    x = 4,289,940.48/3,004.16
  6. Step 6: Final answer
    x = 1,428

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.