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Finding the Fourth Proportional to 4,433.84, 6,653.09 and 1,970.43

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Solution

The fourth proportional to 4,433.84, 6,653.09 and 1,970.43 is: 2,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.84 : 6,653.09 = 1,970.43 : x
  2. Step 2: Convert to fraction form
    4,433.84/6,653.09 = 1,970.43/x
  3. Step 3: Cross multiply
    4,433.84x = 6,653.09 × 1,970.43
  4. Step 4: Simplify right side
    4,433.84x = 13,109,453.05
  5. Step 5: Solve for x
    x = 13,109,453.05/4,433.84
  6. Step 6: Final answer
    x = 2,956.68

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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.