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Finding the Fourth Proportional to 5,240.83, 7,861.74 and 1,953.14

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Solution

The fourth proportional to 5,240.83, 7,861.74 and 1,953.14 is: 2,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.83 : 7,861.74 = 1,953.14 : x
  2. Step 2: Convert to fraction form
    5,240.83/7,861.74 = 1,953.14/x
  3. Step 3: Cross multiply
    5,240.83x = 7,861.74 × 1,953.14
  4. Step 4: Simplify right side
    5,240.83x = 15,355,078.86
  5. Step 5: Solve for x
    x = 15,355,078.86/5,240.83
  6. Step 6: Final answer
    x = 2,929.89

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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.