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Finding the Fourth Proportional to 5,392.32, 8,088.49 and 1,694.88

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Solution

The fourth proportional to 5,392.32, 8,088.49 and 1,694.88 is: 2,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.32 : 8,088.49 = 1,694.88 : x
  2. Step 2: Convert to fraction form
    5,392.32/8,088.49 = 1,694.88/x
  3. Step 3: Cross multiply
    5,392.32x = 8,088.49 × 1,694.88
  4. Step 4: Simplify right side
    5,392.32x = 13,708,991.72
  5. Step 5: Solve for x
    x = 13,708,991.72/5,392.32
  6. Step 6: Final answer
    x = 2,542.32

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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.