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Finding the Fourth Proportional to 5,135.38, 7,703.06 and 1,672.63

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Solution

The fourth proportional to 5,135.38, 7,703.06 and 1,672.63 is: 2,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.38 : 7,703.06 = 1,672.63 : x
  2. Step 2: Convert to fraction form
    5,135.38/7,703.06 = 1,672.63/x
  3. Step 3: Cross multiply
    5,135.38x = 7,703.06 × 1,672.63
  4. Step 4: Simplify right side
    5,135.38x = 12,884,369.25
  5. Step 5: Solve for x
    x = 12,884,369.25/5,135.38
  6. Step 6: Final answer
    x = 2,508.94

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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.