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Finding the Fourth Proportional to 4,129.98, 5,703.66 and 3,175.80

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Solution

The fourth proportional to 4,129.98, 5,703.66 and 3,175.80 is: 4,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.98 : 5,703.66 = 3,175.80 : x
  2. Step 2: Convert to fraction form
    4,129.98/5,703.66 = 3,175.80/x
  3. Step 3: Cross multiply
    4,129.98x = 5,703.66 × 3,175.80
  4. Step 4: Simplify right side
    4,129.98x = 18,113,683.43
  5. Step 5: Solve for x
    x = 18,113,683.43/4,129.98
  6. Step 6: Final answer
    x = 4,385.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.