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Finding the Fourth Proportional to 5,222.94, 7,834.73 and 1,713.30

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Solution

The fourth proportional to 5,222.94, 7,834.73 and 1,713.30 is: 2,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.94 : 7,834.73 = 1,713.30 : x
  2. Step 2: Convert to fraction form
    5,222.94/7,834.73 = 1,713.30/x
  3. Step 3: Cross multiply
    5,222.94x = 7,834.73 × 1,713.30
  4. Step 4: Simplify right side
    5,222.94x = 13,423,242.91
  5. Step 5: Solve for x
    x = 13,423,242.91/5,222.94
  6. Step 6: Final answer
    x = 2,570.05

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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.