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Finding the Fourth Proportional to 4,618.37, 6,928.61 and 2,537.37

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Solution

The fourth proportional to 4,618.37, 6,928.61 and 2,537.37 is: 3,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.37 : 6,928.61 = 2,537.37 : x
  2. Step 2: Convert to fraction form
    4,618.37/6,928.61 = 2,537.37/x
  3. Step 3: Cross multiply
    4,618.37x = 6,928.61 × 2,537.37
  4. Step 4: Simplify right side
    4,618.37x = 17,580,434.47
  5. Step 5: Solve for x
    x = 17,580,434.47/4,618.37
  6. Step 6: Final answer
    x = 3,806.64

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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.