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Finding the Fourth Proportional to 5,300.25, 7,950.42 and 1,837.50

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Solution

The fourth proportional to 5,300.25, 7,950.42 and 1,837.50 is: 2,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.25 : 7,950.42 = 1,837.50 : x
  2. Step 2: Convert to fraction form
    5,300.25/7,950.42 = 1,837.50/x
  3. Step 3: Cross multiply
    5,300.25x = 7,950.42 × 1,837.50
  4. Step 4: Simplify right side
    5,300.25x = 14,608,896.75
  5. Step 5: Solve for x
    x = 14,608,896.75/5,300.25
  6. Step 6: Final answer
    x = 2,756.27

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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.