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Finding the Fourth Proportional to 5,437.43, 7,505.74 and 3,199.40

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Solution

The fourth proportional to 5,437.43, 7,505.74 and 3,199.40 is: 4,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.43 : 7,505.74 = 3,199.40 : x
  2. Step 2: Convert to fraction form
    5,437.43/7,505.74 = 3,199.40/x
  3. Step 3: Cross multiply
    5,437.43x = 7,505.74 × 3,199.40
  4. Step 4: Simplify right side
    5,437.43x = 24,013,850.17
  5. Step 5: Solve for x
    x = 24,013,850.17/5,437.43
  6. Step 6: Final answer
    x = 4,416.40

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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.