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Finding the Fourth Proportional to 4,405.32, 6,610.14 and 1,809

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Solution

The fourth proportional to 4,405.32, 6,610.14 and 1,809 is: 2,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.32 : 6,610.14 = 1,809 : x
  2. Step 2: Convert to fraction form
    4,405.32/6,610.14 = 1,809/x
  3. Step 3: Cross multiply
    4,405.32x = 6,610.14 × 1,809
  4. Step 4: Simplify right side
    4,405.32x = 11,957,743.26
  5. Step 5: Solve for x
    x = 11,957,743.26/4,405.32
  6. Step 6: Final answer
    x = 2,714.39

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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.