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Finding the Fourth Proportional to 4,189.64, 6,284.76 and 1,592.54

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Solution

The fourth proportional to 4,189.64, 6,284.76 and 1,592.54 is: 2,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.64 : 6,284.76 = 1,592.54 : x
  2. Step 2: Convert to fraction form
    4,189.64/6,284.76 = 1,592.54/x
  3. Step 3: Cross multiply
    4,189.64x = 6,284.76 × 1,592.54
  4. Step 4: Simplify right side
    4,189.64x = 10,008,731.69
  5. Step 5: Solve for x
    x = 10,008,731.69/4,189.64
  6. Step 6: Final answer
    x = 2,388.92

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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.