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Finding the Fourth Proportional to 5,431.64, 7,496.03 and 3,041.84

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Solution

The fourth proportional to 5,431.64, 7,496.03 and 3,041.84 is: 4,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.64 : 7,496.03 = 3,041.84 : x
  2. Step 2: Convert to fraction form
    5,431.64/7,496.03 = 3,041.84/x
  3. Step 3: Cross multiply
    5,431.64x = 7,496.03 × 3,041.84
  4. Step 4: Simplify right side
    5,431.64x = 22,801,723.90
  5. Step 5: Solve for x
    x = 22,801,723.90/5,431.64
  6. Step 6: Final answer
    x = 4,197.94

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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.