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Finding the Fourth Proportional to 5,797.58, 8,696.34 and 1,415.06

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Solution

The fourth proportional to 5,797.58, 8,696.34 and 1,415.06 is: 2,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.58 : 8,696.34 = 1,415.06 : x
  2. Step 2: Convert to fraction form
    5,797.58/8,696.34 = 1,415.06/x
  3. Step 3: Cross multiply
    5,797.58x = 8,696.34 × 1,415.06
  4. Step 4: Simplify right side
    5,797.58x = 12,305,842.88
  5. Step 5: Solve for x
    x = 12,305,842.88/5,797.58
  6. Step 6: Final answer
    x = 2,122.58

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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.