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Finding the Fourth Proportional to 3,889.60, 5,374.64 and 2,956.48

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Solution

The fourth proportional to 3,889.60, 5,374.64 and 2,956.48 is: 4,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.60 : 5,374.64 = 2,956.48 : x
  2. Step 2: Convert to fraction form
    3,889.60/5,374.64 = 2,956.48/x
  3. Step 3: Cross multiply
    3,889.60x = 5,374.64 × 2,956.48
  4. Step 4: Simplify right side
    3,889.60x = 15,890,015.67
  5. Step 5: Solve for x
    x = 15,890,015.67/3,889.60
  6. Step 6: Final answer
    x = 4,085.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.