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Finding the Fourth Proportional to 5,301.24, 7,951.86 and 1,838.76

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Solution

The fourth proportional to 5,301.24, 7,951.86 and 1,838.76 is: 2,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.24 : 7,951.86 = 1,838.76 : x
  2. Step 2: Convert to fraction form
    5,301.24/7,951.86 = 1,838.76/x
  3. Step 3: Cross multiply
    5,301.24x = 7,951.86 × 1,838.76
  4. Step 4: Simplify right side
    5,301.24x = 14,621,562.09
  5. Step 5: Solve for x
    x = 14,621,562.09/5,301.24
  6. Step 6: Final answer
    x = 2,758.14

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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.