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Finding the Fourth Proportional to 3,380.96, 5,071.41 and 915.77

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Solution

The fourth proportional to 3,380.96, 5,071.41 and 915.77 is: 1,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.96 : 5,071.41 = 915.77 : x
  2. Step 2: Convert to fraction form
    3,380.96/5,071.41 = 915.77/x
  3. Step 3: Cross multiply
    3,380.96x = 5,071.41 × 915.77
  4. Step 4: Simplify right side
    3,380.96x = 4,644,247.43
  5. Step 5: Solve for x
    x = 4,644,247.43/3,380.96
  6. Step 6: Final answer
    x = 1,373.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.