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Finding the Fourth Proportional to 5,064.93, 7,597.29 and 2,141.24

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Solution

The fourth proportional to 5,064.93, 7,597.29 and 2,141.24 is: 3,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.93 : 7,597.29 = 2,141.24 : x
  2. Step 2: Convert to fraction form
    5,064.93/7,597.29 = 2,141.24/x
  3. Step 3: Cross multiply
    5,064.93x = 7,597.29 × 2,141.24
  4. Step 4: Simplify right side
    5,064.93x = 16,267,591.28
  5. Step 5: Solve for x
    x = 16,267,591.28/5,064.93
  6. Step 6: Final answer
    x = 3,211.81

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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.