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Finding the Fourth Proportional to 3,915.34, 5,398.95 and 2,972.86

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Solution

The fourth proportional to 3,915.34, 5,398.95 and 2,972.86 is: 4,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.34 : 5,398.95 = 2,972.86 : x
  2. Step 2: Convert to fraction form
    3,915.34/5,398.95 = 2,972.86/x
  3. Step 3: Cross multiply
    3,915.34x = 5,398.95 × 2,972.86
  4. Step 4: Simplify right side
    3,915.34x = 16,050,322.50
  5. Step 5: Solve for x
    x = 16,050,322.50/3,915.34
  6. Step 6: Final answer
    x = 4,099.34

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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.