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Finding the Fourth Proportional to 3,741.68, 5,612.72 and 1,433

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Solution

The fourth proportional to 3,741.68, 5,612.72 and 1,433 is: 2,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.68 : 5,612.72 = 1,433 : x
  2. Step 2: Convert to fraction form
    3,741.68/5,612.72 = 1,433/x
  3. Step 3: Cross multiply
    3,741.68x = 5,612.72 × 1,433
  4. Step 4: Simplify right side
    3,741.68x = 8,043,027.76
  5. Step 5: Solve for x
    x = 8,043,027.76/3,741.68
  6. Step 6: Final answer
    x = 2,149.58

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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.