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Finding the Fourth Proportional to 6,492.15, 8,958.54 and 3,975

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Solution

The fourth proportional to 6,492.15, 8,958.54 and 3,975 is: 5,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.15 : 8,958.54 = 3,975 : x
  2. Step 2: Convert to fraction form
    6,492.15/8,958.54 = 3,975/x
  3. Step 3: Cross multiply
    6,492.15x = 8,958.54 × 3,975
  4. Step 4: Simplify right side
    6,492.15x = 35,610,196.50
  5. Step 5: Solve for x
    x = 35,610,196.50/6,492.15
  6. Step 6: Final answer
    x = 5,485.12

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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.