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Finding the Fourth Proportional to 5,768.58, 7,959.45 and 3,671.94

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Solution

The fourth proportional to 5,768.58, 7,959.45 and 3,671.94 is: 5,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.58 : 7,959.45 = 3,671.94 : x
  2. Step 2: Convert to fraction form
    5,768.58/7,959.45 = 3,671.94/x
  3. Step 3: Cross multiply
    5,768.58x = 7,959.45 × 3,671.94
  4. Step 4: Simplify right side
    5,768.58x = 29,226,622.83
  5. Step 5: Solve for x
    x = 29,226,622.83/5,768.58
  6. Step 6: Final answer
    x = 5,066.52

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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.