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Finding the Fourth Proportional to 5,983, 8,257.56 and 3,893.20

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Solution

The fourth proportional to 5,983, 8,257.56 and 3,893.20 is: 5,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983 : 8,257.56 = 3,893.20 : x
  2. Step 2: Convert to fraction form
    5,983/8,257.56 = 3,893.20/x
  3. Step 3: Cross multiply
    5,983x = 8,257.56 × 3,893.20
  4. Step 4: Simplify right side
    5,983x = 32,148,332.59
  5. Step 5: Solve for x
    x = 32,148,332.59/5,983
  6. Step 6: Final answer
    x = 5,373.28

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