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Finding the Fourth Proportional to 3,978.70, 5,953.04 and 3,574.50

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Solution

The fourth proportional to 3,978.70, 5,953.04 and 3,574.50 is: 5,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.70 : 5,953.04 = 3,574.50 : x
  2. Step 2: Convert to fraction form
    3,978.70/5,953.04 = 3,574.50/x
  3. Step 3: Cross multiply
    3,978.70x = 5,953.04 × 3,574.50
  4. Step 4: Simplify right side
    3,978.70x = 21,279,141.48
  5. Step 5: Solve for x
    x = 21,279,141.48/3,978.70
  6. Step 6: Final answer
    x = 5,348.26

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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.