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Finding the Fourth Proportional to 3,782.58, 5,672.04 and 1,317.34

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Solution

The fourth proportional to 3,782.58, 5,672.04 and 1,317.34 is: 1,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.58 : 5,672.04 = 1,317.34 : x
  2. Step 2: Convert to fraction form
    3,782.58/5,672.04 = 1,317.34/x
  3. Step 3: Cross multiply
    3,782.58x = 5,672.04 × 1,317.34
  4. Step 4: Simplify right side
    3,782.58x = 7,472,005.17
  5. Step 5: Solve for x
    x = 7,472,005.17/3,782.58
  6. Step 6: Final answer
    x = 1,975.37

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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.