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Finding the Fourth Proportional to 3,460.80, 5,188.37 and 1,087.67

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Solution

The fourth proportional to 3,460.80, 5,188.37 and 1,087.67 is: 1,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.80 : 5,188.37 = 1,087.67 : x
  2. Step 2: Convert to fraction form
    3,460.80/5,188.37 = 1,087.67/x
  3. Step 3: Cross multiply
    3,460.80x = 5,188.37 × 1,087.67
  4. Step 4: Simplify right side
    3,460.80x = 5,643,203.02
  5. Step 5: Solve for x
    x = 5,643,203.02/3,460.80
  6. Step 6: Final answer
    x = 1,630.61

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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.