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Finding the Fourth Proportional to 6,438.32, 8,885.04 and 3,644

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Solution

The fourth proportional to 6,438.32, 8,885.04 and 3,644 is: 5,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.32 : 8,885.04 = 3,644 : x
  2. Step 2: Convert to fraction form
    6,438.32/8,885.04 = 3,644/x
  3. Step 3: Cross multiply
    6,438.32x = 8,885.04 × 3,644
  4. Step 4: Simplify right side
    6,438.32x = 32,377,085.76
  5. Step 5: Solve for x
    x = 32,377,085.76/6,438.32
  6. Step 6: Final answer
    x = 5,028.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.