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Finding the Fourth Proportional to 3,458.93, 5,188.34 and 1,267.63

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Solution

The fourth proportional to 3,458.93, 5,188.34 and 1,267.63 is: 1,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.93 : 5,188.34 = 1,267.63 : x
  2. Step 2: Convert to fraction form
    3,458.93/5,188.34 = 1,267.63/x
  3. Step 3: Cross multiply
    3,458.93x = 5,188.34 × 1,267.63
  4. Step 4: Simplify right side
    3,458.93x = 6,576,885.63
  5. Step 5: Solve for x
    x = 6,576,885.63/3,458.93
  6. Step 6: Final answer
    x = 1,901.42

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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.