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Finding the Fourth Proportional to 5,123.59, 7,684.98 and 2,003.01

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Solution

The fourth proportional to 5,123.59, 7,684.98 and 2,003.01 is: 3,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.59 : 7,684.98 = 2,003.01 : x
  2. Step 2: Convert to fraction form
    5,123.59/7,684.98 = 2,003.01/x
  3. Step 3: Cross multiply
    5,123.59x = 7,684.98 × 2,003.01
  4. Step 4: Simplify right side
    5,123.59x = 15,393,091.79
  5. Step 5: Solve for x
    x = 15,393,091.79/5,123.59
  6. Step 6: Final answer
    x = 3,004.36

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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.