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Finding the Fourth Proportional to 5,828.88, 8,729.46 and 3,192.45

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Solution

The fourth proportional to 5,828.88, 8,729.46 and 3,192.45 is: 4,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.88 : 8,729.46 = 3,192.45 : x
  2. Step 2: Convert to fraction form
    5,828.88/8,729.46 = 3,192.45/x
  3. Step 3: Cross multiply
    5,828.88x = 8,729.46 × 3,192.45
  4. Step 4: Simplify right side
    5,828.88x = 27,868,364.58
  5. Step 5: Solve for x
    x = 27,868,364.58/5,828.88
  6. Step 6: Final answer
    x = 4,781.08

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1.5x scale

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.