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Finding the Fourth Proportional to 5,644.36, 7,784.39 and 3,405.76

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Solution

The fourth proportional to 5,644.36, 7,784.39 and 3,405.76 is: 4,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.36 : 7,784.39 = 3,405.76 : x
  2. Step 2: Convert to fraction form
    5,644.36/7,784.39 = 3,405.76/x
  3. Step 3: Cross multiply
    5,644.36x = 7,784.39 × 3,405.76
  4. Step 4: Simplify right side
    5,644.36x = 26,511,764.09
  5. Step 5: Solve for x
    x = 26,511,764.09/5,644.36
  6. Step 6: Final answer
    x = 4,697.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.