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Finding the Fourth Proportional to 3,475.74, 5,212.58 and 1,915.45

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Solution

The fourth proportional to 3,475.74, 5,212.58 and 1,915.45 is: 2,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.74 : 5,212.58 = 1,915.45 : x
  2. Step 2: Convert to fraction form
    3,475.74/5,212.58 = 1,915.45/x
  3. Step 3: Cross multiply
    3,475.74x = 5,212.58 × 1,915.45
  4. Step 4: Simplify right side
    3,475.74x = 9,984,419.14
  5. Step 5: Solve for x
    x = 9,984,419.14/3,475.74
  6. Step 6: Final answer
    x = 2,872.61

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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.