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Finding the Fourth Proportional to 5,135.13, 7,703.90 and 1,625.49

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Solution

The fourth proportional to 5,135.13, 7,703.90 and 1,625.49 is: 2,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.13 : 7,703.90 = 1,625.49 : x
  2. Step 2: Convert to fraction form
    5,135.13/7,703.90 = 1,625.49/x
  3. Step 3: Cross multiply
    5,135.13x = 7,703.90 × 1,625.49
  4. Step 4: Simplify right side
    5,135.13x = 12,522,612.41
  5. Step 5: Solve for x
    x = 12,522,612.41/5,135.13
  6. Step 6: Final answer
    x = 2,438.62

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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.