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Finding the Fourth Proportional to 3,709.42, 5,566.32 and 1,371.08

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Solution

The fourth proportional to 3,709.42, 5,566.32 and 1,371.08 is: 2,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.42 : 5,566.32 = 1,371.08 : x
  2. Step 2: Convert to fraction form
    3,709.42/5,566.32 = 1,371.08/x
  3. Step 3: Cross multiply
    3,709.42x = 5,566.32 × 1,371.08
  4. Step 4: Simplify right side
    3,709.42x = 7,631,870.03
  5. Step 5: Solve for x
    x = 7,631,870.03/3,709.42
  6. Step 6: Final answer
    x = 2,057.43

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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.