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Finding the Fourth Proportional to 4,661.84, 6,998.22 and 3,269.45

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Solution

The fourth proportional to 4,661.84, 6,998.22 and 3,269.45 is: 4,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.84 : 6,998.22 = 3,269.45 : x
  2. Step 2: Convert to fraction form
    4,661.84/6,998.22 = 3,269.45/x
  3. Step 3: Cross multiply
    4,661.84x = 6,998.22 × 3,269.45
  4. Step 4: Simplify right side
    4,661.84x = 22,880,330.38
  5. Step 5: Solve for x
    x = 22,880,330.38/4,661.84
  6. Step 6: Final answer
    x = 4,908.00

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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.