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Finding the Fourth Proportional to 5,123.77, 7,684.00 and 2,003.02

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Solution

The fourth proportional to 5,123.77, 7,684.00 and 2,003.02 is: 3,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.77 : 7,684.00 = 2,003.02 : x
  2. Step 2: Convert to fraction form
    5,123.77/7,684.00 = 2,003.02/x
  3. Step 3: Cross multiply
    5,123.77x = 7,684.00 × 2,003.02
  4. Step 4: Simplify right side
    5,123.77x = 15,391,181.46
  5. Step 5: Solve for x
    x = 15,391,181.46/5,123.77
  6. Step 6: Final answer
    x = 3,003.88

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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.