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Finding the Fourth Proportional to 5,468.11, 7,537.26 and 3,696.64

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Solution

The fourth proportional to 5,468.11, 7,537.26 and 3,696.64 is: 5,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.11 : 7,537.26 = 3,696.64 : x
  2. Step 2: Convert to fraction form
    5,468.11/7,537.26 = 3,696.64/x
  3. Step 3: Cross multiply
    5,468.11x = 7,537.26 × 3,696.64
  4. Step 4: Simplify right side
    5,468.11x = 27,862,536.81
  5. Step 5: Solve for x
    x = 27,862,536.81/5,468.11
  6. Step 6: Final answer
    x = 5,095.46

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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.