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Finding the Fourth Proportional to 4,326, 6,489.56 and 1,985.44

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Solution

The fourth proportional to 4,326, 6,489.56 and 1,985.44 is: 2,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326 : 6,489.56 = 1,985.44 : x
  2. Step 2: Convert to fraction form
    4,326/6,489.56 = 1,985.44/x
  3. Step 3: Cross multiply
    4,326x = 6,489.56 × 1,985.44
  4. Step 4: Simplify right side
    4,326x = 12,884,632.01
  5. Step 5: Solve for x
    x = 12,884,632.01/4,326
  6. Step 6: Final answer
    x = 2,978.42

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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.