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Finding the Fourth Proportional to 5,224.99, 7,835.51 and 2,103.93

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Solution

The fourth proportional to 5,224.99, 7,835.51 and 2,103.93 is: 3,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.99 : 7,835.51 = 2,103.93 : x
  2. Step 2: Convert to fraction form
    5,224.99/7,835.51 = 2,103.93/x
  3. Step 3: Cross multiply
    5,224.99x = 7,835.51 × 2,103.93
  4. Step 4: Simplify right side
    5,224.99x = 16,485,364.55
  5. Step 5: Solve for x
    x = 16,485,364.55/5,224.99
  6. Step 6: Final answer
    x = 3,155.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.