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Finding the Fourth Proportional to 23,508.40, 35,262.44 and 5,978

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Solution

The fourth proportional to 23,508.40, 35,262.44 and 5,978 is: 8,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508.40 : 35,262.44 = 5,978 : x
  2. Step 2: Convert to fraction form
    23,508.40/35,262.44 = 5,978/x
  3. Step 3: Cross multiply
    23,508.40x = 35,262.44 × 5,978
  4. Step 4: Simplify right side
    23,508.40x = 210,798,866.32
  5. Step 5: Solve for x
    x = 210,798,866.32/23,508.40
  6. Step 6: Final answer
    x = 8,966.96

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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.