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Finding the Fourth Proportional to 5,713.66, 8,573.46 and 3,078.46

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Solution

The fourth proportional to 5,713.66, 8,573.46 and 3,078.46 is: 4,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.66 : 8,573.46 = 3,078.46 : x
  2. Step 2: Convert to fraction form
    5,713.66/8,573.46 = 3,078.46/x
  3. Step 3: Cross multiply
    5,713.66x = 8,573.46 × 3,078.46
  4. Step 4: Simplify right side
    5,713.66x = 26,393,053.67
  5. Step 5: Solve for x
    x = 26,393,053.67/5,713.66
  6. Step 6: Final answer
    x = 4,619.29

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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.