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Finding the Fourth Proportional to 6,087.80, 9,138.90 and 3,457.40

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Solution

The fourth proportional to 6,087.80, 9,138.90 and 3,457.40 is: 5,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.80 : 9,138.90 = 3,457.40 : x
  2. Step 2: Convert to fraction form
    6,087.80/9,138.90 = 3,457.40/x
  3. Step 3: Cross multiply
    6,087.80x = 9,138.90 × 3,457.40
  4. Step 4: Simplify right side
    6,087.80x = 31,596,832.86
  5. Step 5: Solve for x
    x = 31,596,832.86/6,087.80
  6. Step 6: Final answer
    x = 5,190.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.