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Finding the Fourth Proportional to 5,624.40, 8,429.76 and 3,981.42

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Solution

The fourth proportional to 5,624.40, 8,429.76 and 3,981.42 is: 5,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.40 : 8,429.76 = 3,981.42 : x
  2. Step 2: Convert to fraction form
    5,624.40/8,429.76 = 3,981.42/x
  3. Step 3: Cross multiply
    5,624.40x = 8,429.76 × 3,981.42
  4. Step 4: Simplify right side
    5,624.40x = 33,562,415.06
  5. Step 5: Solve for x
    x = 33,562,415.06/5,624.40
  6. Step 6: Final answer
    x = 5,967.29

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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.