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Finding the Fourth Proportional to 3,923.33, 5,883.43 and 1,730.50

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Solution

The fourth proportional to 3,923.33, 5,883.43 and 1,730.50 is: 2,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.33 : 5,883.43 = 1,730.50 : x
  2. Step 2: Convert to fraction form
    3,923.33/5,883.43 = 1,730.50/x
  3. Step 3: Cross multiply
    3,923.33x = 5,883.43 × 1,730.50
  4. Step 4: Simplify right side
    3,923.33x = 10,181,275.62
  5. Step 5: Solve for x
    x = 10,181,275.62/3,923.33
  6. Step 6: Final answer
    x = 2,595.06

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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.