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Finding the Fourth Proportional to 3,915.54, 5,869.21 and 2,434.76

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Solution

The fourth proportional to 3,915.54, 5,869.21 and 2,434.76 is: 3,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.54 : 5,869.21 = 2,434.76 : x
  2. Step 2: Convert to fraction form
    3,915.54/5,869.21 = 2,434.76/x
  3. Step 3: Cross multiply
    3,915.54x = 5,869.21 × 2,434.76
  4. Step 4: Simplify right side
    3,915.54x = 14,290,108.88
  5. Step 5: Solve for x
    x = 14,290,108.88/3,915.54
  6. Step 6: Final answer
    x = 3,649.59

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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.