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Finding the Fourth Proportional to 5,238.02, 7,856.42 and 1,950.74

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Solution

The fourth proportional to 5,238.02, 7,856.42 and 1,950.74 is: 2,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.02 : 7,856.42 = 1,950.74 : x
  2. Step 2: Convert to fraction form
    5,238.02/7,856.42 = 1,950.74/x
  3. Step 3: Cross multiply
    5,238.02x = 7,856.42 × 1,950.74
  4. Step 4: Simplify right side
    5,238.02x = 15,325,832.75
  5. Step 5: Solve for x
    x = 15,325,832.75/5,238.02
  6. Step 6: Final answer
    x = 2,925.88

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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.