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Finding the Fourth Proportional to 5,458.44, 8,188.17 and 1,509.54

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Solution

The fourth proportional to 5,458.44, 8,188.17 and 1,509.54 is: 2,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.44 : 8,188.17 = 1,509.54 : x
  2. Step 2: Convert to fraction form
    5,458.44/8,188.17 = 1,509.54/x
  3. Step 3: Cross multiply
    5,458.44x = 8,188.17 × 1,509.54
  4. Step 4: Simplify right side
    5,458.44x = 12,360,355.33
  5. Step 5: Solve for x
    x = 12,360,355.33/5,458.44
  6. Step 6: Final answer
    x = 2,264.45

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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.