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Finding the Fourth Proportional to 5,105.40, 7,658.22 and 1,595.46

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Solution

The fourth proportional to 5,105.40, 7,658.22 and 1,595.46 is: 2,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.40 : 7,658.22 = 1,595.46 : x
  2. Step 2: Convert to fraction form
    5,105.40/7,658.22 = 1,595.46/x
  3. Step 3: Cross multiply
    5,105.40x = 7,658.22 × 1,595.46
  4. Step 4: Simplify right side
    5,105.40x = 12,218,383.68
  5. Step 5: Solve for x
    x = 12,218,383.68/5,105.40
  6. Step 6: Final answer
    x = 2,393.23

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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.