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Finding the Fourth Proportional to 5,675.57, 7,832.36 and 3,437.64

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Solution

The fourth proportional to 5,675.57, 7,832.36 and 3,437.64 is: 4,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.57 : 7,832.36 = 3,437.64 : x
  2. Step 2: Convert to fraction form
    5,675.57/7,832.36 = 3,437.64/x
  3. Step 3: Cross multiply
    5,675.57x = 7,832.36 × 3,437.64
  4. Step 4: Simplify right side
    5,675.57x = 26,924,816.84
  5. Step 5: Solve for x
    x = 26,924,816.84/5,675.57
  6. Step 6: Final answer
    x = 4,743.99

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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.