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Finding the Fourth Proportional to 5,794.32, 8,696 and 3,021.72

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Solution

The fourth proportional to 5,794.32, 8,696 and 3,021.72 is: 4,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.32 : 8,696 = 3,021.72 : x
  2. Step 2: Convert to fraction form
    5,794.32/8,696 = 3,021.72/x
  3. Step 3: Cross multiply
    5,794.32x = 8,696 × 3,021.72
  4. Step 4: Simplify right side
    5,794.32x = 26,276,877.12
  5. Step 5: Solve for x
    x = 26,276,877.12/5,794.32
  6. Step 6: Final answer
    x = 4,534.94

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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.