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Finding the Fourth Proportional to 4,431, 6,637.68 and 2,232.84

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Solution

The fourth proportional to 4,431, 6,637.68 and 2,232.84 is: 3,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431 : 6,637.68 = 2,232.84 : x
  2. Step 2: Convert to fraction form
    4,431/6,637.68 = 2,232.84/x
  3. Step 3: Cross multiply
    4,431x = 6,637.68 × 2,232.84
  4. Step 4: Simplify right side
    4,431x = 14,820,877.41
  5. Step 5: Solve for x
    x = 14,820,877.41/4,431
  6. Step 6: Final answer
    x = 3,344.82

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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.