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Finding the Fourth Proportional to 5,536.53, 7,638.84 and 3,411.36

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Solution

The fourth proportional to 5,536.53, 7,638.84 and 3,411.36 is: 4,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.53 : 7,638.84 = 3,411.36 : x
  2. Step 2: Convert to fraction form
    5,536.53/7,638.84 = 3,411.36/x
  3. Step 3: Cross multiply
    5,536.53x = 7,638.84 × 3,411.36
  4. Step 4: Simplify right side
    5,536.53x = 26,058,833.22
  5. Step 5: Solve for x
    x = 26,058,833.22/5,536.53
  6. Step 6: Final answer
    x = 4,706.71

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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.