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Finding the Fourth Proportional to 5,222.37, 7,834.13 and 1,712.69

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Solution

The fourth proportional to 5,222.37, 7,834.13 and 1,712.69 is: 2,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.37 : 7,834.13 = 1,712.69 : x
  2. Step 2: Convert to fraction form
    5,222.37/7,834.13 = 1,712.69/x
  3. Step 3: Cross multiply
    5,222.37x = 7,834.13 × 1,712.69
  4. Step 4: Simplify right side
    5,222.37x = 13,417,470.65
  5. Step 5: Solve for x
    x = 13,417,470.65/5,222.37
  6. Step 6: Final answer
    x = 2,569.23

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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.