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Finding the Fourth Proportional to 5,222.94, 7,836.04 and 1,712.98

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Solution

The fourth proportional to 5,222.94, 7,836.04 and 1,712.98 is: 2,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.94 : 7,836.04 = 1,712.98 : x
  2. Step 2: Convert to fraction form
    5,222.94/7,836.04 = 1,712.98/x
  3. Step 3: Cross multiply
    5,222.94x = 7,836.04 × 1,712.98
  4. Step 4: Simplify right side
    5,222.94x = 13,422,979.80
  5. Step 5: Solve for x
    x = 13,422,979.80/5,222.94
  6. Step 6: Final answer
    x = 2,570.00

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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.