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Finding the Fourth Proportional to 7,252.32, 10,879.42 and 2,323.46

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Solution

The fourth proportional to 7,252.32, 10,879.42 and 2,323.46 is: 3,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.32 : 10,879.42 = 2,323.46 : x
  2. Step 2: Convert to fraction form
    7,252.32/10,879.42 = 2,323.46/x
  3. Step 3: Cross multiply
    7,252.32x = 10,879.42 × 2,323.46
  4. Step 4: Simplify right side
    7,252.32x = 25,277,897.19
  5. Step 5: Solve for x
    x = 25,277,897.19/7,252.32
  6. Step 6: Final answer
    x = 3,485.49

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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.