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Finding the Fourth Proportional to 5,493.94, 8,242.26 and 1,598.38

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Solution

The fourth proportional to 5,493.94, 8,242.26 and 1,598.38 is: 2,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.94 : 8,242.26 = 1,598.38 : x
  2. Step 2: Convert to fraction form
    5,493.94/8,242.26 = 1,598.38/x
  3. Step 3: Cross multiply
    5,493.94x = 8,242.26 × 1,598.38
  4. Step 4: Simplify right side
    5,493.94x = 13,174,263.54
  5. Step 5: Solve for x
    x = 13,174,263.54/5,493.94
  6. Step 6: Final answer
    x = 2,397.96

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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.