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Finding the Fourth Proportional to 6,444.84, 8,895.38 and 4,202.81

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Solution

The fourth proportional to 6,444.84, 8,895.38 and 4,202.81 is: 5,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.84 : 8,895.38 = 4,202.81 : x
  2. Step 2: Convert to fraction form
    6,444.84/8,895.38 = 4,202.81/x
  3. Step 3: Cross multiply
    6,444.84x = 8,895.38 × 4,202.81
  4. Step 4: Simplify right side
    6,444.84x = 37,385,591.41
  5. Step 5: Solve for x
    x = 37,385,591.41/6,444.84
  6. Step 6: Final answer
    x = 5,800.86

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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.