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Finding the Fourth Proportional to 3,544.34, 5,317.14 and 1,352.48

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Solution

The fourth proportional to 3,544.34, 5,317.14 and 1,352.48 is: 2,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.34 : 5,317.14 = 1,352.48 : x
  2. Step 2: Convert to fraction form
    3,544.34/5,317.14 = 1,352.48/x
  3. Step 3: Cross multiply
    3,544.34x = 5,317.14 × 1,352.48
  4. Step 4: Simplify right side
    3,544.34x = 7,191,325.51
  5. Step 5: Solve for x
    x = 7,191,325.51/3,544.34
  6. Step 6: Final answer
    x = 2,028.96

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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.