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Finding the Fourth Proportional to 5,137.67, 7,090.13 and 3,041.80

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Solution

The fourth proportional to 5,137.67, 7,090.13 and 3,041.80 is: 4,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.67 : 7,090.13 = 3,041.80 : x
  2. Step 2: Convert to fraction form
    5,137.67/7,090.13 = 3,041.80/x
  3. Step 3: Cross multiply
    5,137.67x = 7,090.13 × 3,041.80
  4. Step 4: Simplify right side
    5,137.67x = 21,566,706.77
  5. Step 5: Solve for x
    x = 21,566,706.77/5,137.67
  6. Step 6: Final answer
    x = 4,197.76

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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.