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Finding the Fourth Proportional to 5,751.54, 7,929.09 and 4,863.78

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Solution

The fourth proportional to 5,751.54, 7,929.09 and 4,863.78 is: 6,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.54 : 7,929.09 = 4,863.78 : x
  2. Step 2: Convert to fraction form
    5,751.54/7,929.09 = 4,863.78/x
  3. Step 3: Cross multiply
    5,751.54x = 7,929.09 × 4,863.78
  4. Step 4: Simplify right side
    5,751.54x = 38,565,349.36
  5. Step 5: Solve for x
    x = 38,565,349.36/5,751.54
  6. Step 6: Final answer
    x = 6,705.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.