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Finding the Fourth Proportional to 4,713.53, 6,498.23 and 3,452.36

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Solution

The fourth proportional to 4,713.53, 6,498.23 and 3,452.36 is: 4,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.53 : 6,498.23 = 3,452.36 : x
  2. Step 2: Convert to fraction form
    4,713.53/6,498.23 = 3,452.36/x
  3. Step 3: Cross multiply
    4,713.53x = 6,498.23 × 3,452.36
  4. Step 4: Simplify right side
    4,713.53x = 22,434,179.57
  5. Step 5: Solve for x
    x = 22,434,179.57/4,713.53
  6. Step 6: Final answer
    x = 4,759.53

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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.