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Finding the Fourth Proportional to 5,310.46, 7,335.93 and 4,255.23

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Solution

The fourth proportional to 5,310.46, 7,335.93 and 4,255.23 is: 5,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.46 : 7,335.93 = 4,255.23 : x
  2. Step 2: Convert to fraction form
    5,310.46/7,335.93 = 4,255.23/x
  3. Step 3: Cross multiply
    5,310.46x = 7,335.93 × 4,255.23
  4. Step 4: Simplify right side
    5,310.46x = 31,216,069.41
  5. Step 5: Solve for x
    x = 31,216,069.41/5,310.46
  6. Step 6: Final answer
    x = 5,878.22

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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.