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Finding the Fourth Proportional to 5,135.85, 7,700.10 and 3,157.41

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Solution

The fourth proportional to 5,135.85, 7,700.10 and 3,157.41 is: 4,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.85 : 7,700.10 = 3,157.41 : x
  2. Step 2: Convert to fraction form
    5,135.85/7,700.10 = 3,157.41/x
  3. Step 3: Cross multiply
    5,135.85x = 7,700.10 × 3,157.41
  4. Step 4: Simplify right side
    5,135.85x = 24,312,372.74
  5. Step 5: Solve for x
    x = 24,312,372.74/5,135.85
  6. Step 6: Final answer
    x = 4,733.86

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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.