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Finding the Fourth Proportional to 5,248.54, 7,240.64 and 3,546.50

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Solution

The fourth proportional to 5,248.54, 7,240.64 and 3,546.50 is: 4,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.54 : 7,240.64 = 3,546.50 : x
  2. Step 2: Convert to fraction form
    5,248.54/7,240.64 = 3,546.50/x
  3. Step 3: Cross multiply
    5,248.54x = 7,240.64 × 3,546.50
  4. Step 4: Simplify right side
    5,248.54x = 25,678,893.56
  5. Step 5: Solve for x
    x = 25,678,893.56/5,248.54
  6. Step 6: Final answer
    x = 4,892.58

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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.