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Finding the Fourth Proportional to 3,589.50, 4,953.57 and 2,347.50

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Solution

The fourth proportional to 3,589.50, 4,953.57 and 2,347.50 is: 3,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.50 : 4,953.57 = 2,347.50 : x
  2. Step 2: Convert to fraction form
    3,589.50/4,953.57 = 2,347.50/x
  3. Step 3: Cross multiply
    3,589.50x = 4,953.57 × 2,347.50
  4. Step 4: Simplify right side
    3,589.50x = 11,628,505.58
  5. Step 5: Solve for x
    x = 11,628,505.58/3,589.50
  6. Step 6: Final answer
    x = 3,239.59

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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.