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Finding the Fourth Proportional to 5,624.94, 8,419.70 and 3,859.62

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Solution

The fourth proportional to 5,624.94, 8,419.70 and 3,859.62 is: 5,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.94 : 8,419.70 = 3,859.62 : x
  2. Step 2: Convert to fraction form
    5,624.94/8,419.70 = 3,859.62/x
  3. Step 3: Cross multiply
    5,624.94x = 8,419.70 × 3,859.62
  4. Step 4: Simplify right side
    5,624.94x = 32,496,852.16
  5. Step 5: Solve for x
    x = 32,496,852.16/5,624.94
  6. Step 6: Final answer
    x = 5,777.28

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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.