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Finding the Fourth Proportional to 5,201.88, 7,175.58 and 3,543

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Solution

The fourth proportional to 5,201.88, 7,175.58 and 3,543 is: 4,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.88 : 7,175.58 = 3,543 : x
  2. Step 2: Convert to fraction form
    5,201.88/7,175.58 = 3,543/x
  3. Step 3: Cross multiply
    5,201.88x = 7,175.58 × 3,543
  4. Step 4: Simplify right side
    5,201.88x = 25,423,079.94
  5. Step 5: Solve for x
    x = 25,423,079.94/5,201.88
  6. Step 6: Final answer
    x = 4,887.29

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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.