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Finding the Fourth Proportional to 4,342.53, 6,515.06 and 1,745.31

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Solution

The fourth proportional to 4,342.53, 6,515.06 and 1,745.31 is: 2,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.53 : 6,515.06 = 1,745.31 : x
  2. Step 2: Convert to fraction form
    4,342.53/6,515.06 = 1,745.31/x
  3. Step 3: Cross multiply
    4,342.53x = 6,515.06 × 1,745.31
  4. Step 4: Simplify right side
    4,342.53x = 11,370,790.64
  5. Step 5: Solve for x
    x = 11,370,790.64/4,342.53
  6. Step 6: Final answer
    x = 2,618.47

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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.