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Finding the Fourth Proportional to 3,804.48, 5,704.24 and 2,502

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Solution

The fourth proportional to 3,804.48, 5,704.24 and 2,502 is: 3,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.48 : 5,704.24 = 2,502 : x
  2. Step 2: Convert to fraction form
    3,804.48/5,704.24 = 2,502/x
  3. Step 3: Cross multiply
    3,804.48x = 5,704.24 × 2,502
  4. Step 4: Simplify right side
    3,804.48x = 14,272,008.48
  5. Step 5: Solve for x
    x = 14,272,008.48/3,804.48
  6. Step 6: Final answer
    x = 3,751.37

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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.