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Finding the Fourth Proportional to 3,340.45, 5,008.01 and 1,584.57

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Solution

The fourth proportional to 3,340.45, 5,008.01 and 1,584.57 is: 2,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.45 : 5,008.01 = 1,584.57 : x
  2. Step 2: Convert to fraction form
    3,340.45/5,008.01 = 1,584.57/x
  3. Step 3: Cross multiply
    3,340.45x = 5,008.01 × 1,584.57
  4. Step 4: Simplify right side
    3,340.45x = 7,935,534.48
  5. Step 5: Solve for x
    x = 7,935,534.48/3,340.45
  6. Step 6: Final answer
    x = 2,375.59

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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.