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Finding the Fourth Proportional to 3,970.60, 5,953.98 and 2,327.68

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Solution

The fourth proportional to 3,970.60, 5,953.98 and 2,327.68 is: 3,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.60 : 5,953.98 = 2,327.68 : x
  2. Step 2: Convert to fraction form
    3,970.60/5,953.98 = 2,327.68/x
  3. Step 3: Cross multiply
    3,970.60x = 5,953.98 × 2,327.68
  4. Step 4: Simplify right side
    3,970.60x = 13,858,960.17
  5. Step 5: Solve for x
    x = 13,858,960.17/3,970.60
  6. Step 6: Final answer
    x = 3,490.39

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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.