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Finding the Fourth Proportional to 6,152.09, 8,489.57 and 3,499.44

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Solution

The fourth proportional to 6,152.09, 8,489.57 and 3,499.44 is: 4,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.09 : 8,489.57 = 3,499.44 : x
  2. Step 2: Convert to fraction form
    6,152.09/8,489.57 = 3,499.44/x
  3. Step 3: Cross multiply
    6,152.09x = 8,489.57 × 3,499.44
  4. Step 4: Simplify right side
    6,152.09x = 29,708,740.84
  5. Step 5: Solve for x
    x = 29,708,740.84/6,152.09
  6. Step 6: Final answer
    x = 4,829.05

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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.