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Finding the Fourth Proportional to 6,187.16, 8,538.30 and 3,354.57

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Solution

The fourth proportional to 6,187.16, 8,538.30 and 3,354.57 is: 4,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.16 : 8,538.30 = 3,354.57 : x
  2. Step 2: Convert to fraction form
    6,187.16/8,538.30 = 3,354.57/x
  3. Step 3: Cross multiply
    6,187.16x = 8,538.30 × 3,354.57
  4. Step 4: Simplify right side
    6,187.16x = 28,642,325.03
  5. Step 5: Solve for x
    x = 28,642,325.03/6,187.16
  6. Step 6: Final answer
    x = 4,629.32

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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.