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Finding the Fourth Proportional to 5,492, 8,234.54 and 4,659.35

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Solution

The fourth proportional to 5,492, 8,234.54 and 4,659.35 is: 6,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492 : 8,234.54 = 4,659.35 : x
  2. Step 2: Convert to fraction form
    5,492/8,234.54 = 4,659.35/x
  3. Step 3: Cross multiply
    5,492x = 8,234.54 × 4,659.35
  4. Step 4: Simplify right side
    5,492x = 38,367,601.24
  5. Step 5: Solve for x
    x = 38,367,601.24/5,492
  6. Step 6: Final answer
    x = 6,986.09

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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.