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Finding the Fourth Proportional to 5,123.84, 7,685.58 and 1,661

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Solution

The fourth proportional to 5,123.84, 7,685.58 and 1,661 is: 2,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.84 : 7,685.58 = 1,661 : x
  2. Step 2: Convert to fraction form
    5,123.84/7,685.58 = 1,661/x
  3. Step 3: Cross multiply
    5,123.84x = 7,685.58 × 1,661
  4. Step 4: Simplify right side
    5,123.84x = 12,765,748.38
  5. Step 5: Solve for x
    x = 12,765,748.38/5,123.84
  6. Step 6: Final answer
    x = 2,491.44

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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.