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Finding the Fourth Proportional to 5,173.32, 7,139.32 and 3,185.00

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Solution

The fourth proportional to 5,173.32, 7,139.32 and 3,185.00 is: 4,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.32 : 7,139.32 = 3,185.00 : x
  2. Step 2: Convert to fraction form
    5,173.32/7,139.32 = 3,185.00/x
  3. Step 3: Cross multiply
    5,173.32x = 7,139.32 × 3,185.00
  4. Step 4: Simplify right side
    5,173.32x = 22,738,736.12
  5. Step 5: Solve for x
    x = 22,738,736.12/5,173.32
  6. Step 6: Final answer
    x = 4,395.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.