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Finding the Fourth Proportional to 4,160.64, 5,742.93 and 2,483.22

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Solution

The fourth proportional to 4,160.64, 5,742.93 and 2,483.22 is: 3,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.64 : 5,742.93 = 2,483.22 : x
  2. Step 2: Convert to fraction form
    4,160.64/5,742.93 = 2,483.22/x
  3. Step 3: Cross multiply
    4,160.64x = 5,742.93 × 2,483.22
  4. Step 4: Simplify right side
    4,160.64x = 14,260,958.63
  5. Step 5: Solve for x
    x = 14,260,958.63/4,160.64
  6. Step 6: Final answer
    x = 3,427.59

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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.