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Finding the Fourth Proportional to 6,406.54, 9,610.84 and 3,445.89

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Solution

The fourth proportional to 6,406.54, 9,610.84 and 3,445.89 is: 5,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.54 : 9,610.84 = 3,445.89 : x
  2. Step 2: Convert to fraction form
    6,406.54/9,610.84 = 3,445.89/x
  3. Step 3: Cross multiply
    6,406.54x = 9,610.84 × 3,445.89
  4. Step 4: Simplify right side
    6,406.54x = 33,117,914.93
  5. Step 5: Solve for x
    x = 33,117,914.93/6,406.54
  6. Step 6: Final answer
    x = 5,169.39

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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.