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Finding the Fourth Proportional to 5,962.32, 8,208.30 and 5,073

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Solution

The fourth proportional to 5,962.32, 8,208.30 and 5,073 is: 6,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.32 : 8,208.30 = 5,073 : x
  2. Step 2: Convert to fraction form
    5,962.32/8,208.30 = 5,073/x
  3. Step 3: Cross multiply
    5,962.32x = 8,208.30 × 5,073
  4. Step 4: Simplify right side
    5,962.32x = 41,640,705.90
  5. Step 5: Solve for x
    x = 41,640,705.90/5,962.32
  6. Step 6: Final answer
    x = 6,983.98

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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.