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Finding the Fourth Proportional to 5,235.56, 7,231.49 and 3,915.14

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Solution

The fourth proportional to 5,235.56, 7,231.49 and 3,915.14 is: 5,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.56 : 7,231.49 = 3,915.14 : x
  2. Step 2: Convert to fraction form
    5,235.56/7,231.49 = 3,915.14/x
  3. Step 3: Cross multiply
    5,235.56x = 7,231.49 × 3,915.14
  4. Step 4: Simplify right side
    5,235.56x = 28,312,276.18
  5. Step 5: Solve for x
    x = 28,312,276.18/5,235.56
  6. Step 6: Final answer
    x = 5,407.69

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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.