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Finding the Fourth Proportional to 5,123.79, 7,685.84 and 2,003.67

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Solution

The fourth proportional to 5,123.79, 7,685.84 and 2,003.67 is: 3,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.79 : 7,685.84 = 2,003.67 : x
  2. Step 2: Convert to fraction form
    5,123.79/7,685.84 = 2,003.67/x
  3. Step 3: Cross multiply
    5,123.79x = 7,685.84 × 2,003.67
  4. Step 4: Simplify right side
    5,123.79x = 15,399,887.03
  5. Step 5: Solve for x
    x = 15,399,887.03/5,123.79
  6. Step 6: Final answer
    x = 3,005.57

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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.