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Finding the Fourth Proportional to 5,735.94, 7,915.64 and 3,347.58

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Solution

The fourth proportional to 5,735.94, 7,915.64 and 3,347.58 is: 4,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.94 : 7,915.64 = 3,347.58 : x
  2. Step 2: Convert to fraction form
    5,735.94/7,915.64 = 3,347.58/x
  3. Step 3: Cross multiply
    5,735.94x = 7,915.64 × 3,347.58
  4. Step 4: Simplify right side
    5,735.94x = 26,498,238.15
  5. Step 5: Solve for x
    x = 26,498,238.15/5,735.94
  6. Step 6: Final answer
    x = 4,619.69

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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.