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Finding the Fourth Proportional to 6,504.19, 8,975.70 and 3,519.95

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Solution

The fourth proportional to 6,504.19, 8,975.70 and 3,519.95 is: 4,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.19 : 8,975.70 = 3,519.95 : x
  2. Step 2: Convert to fraction form
    6,504.19/8,975.70 = 3,519.95/x
  3. Step 3: Cross multiply
    6,504.19x = 8,975.70 × 3,519.95
  4. Step 4: Simplify right side
    6,504.19x = 31,594,015.22
  5. Step 5: Solve for x
    x = 31,594,015.22/6,504.19
  6. Step 6: Final answer
    x = 4,857.49

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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.