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Finding the Fourth Proportional to 3,953.64, 5,448.53 and 2,832.66

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Solution

The fourth proportional to 3,953.64, 5,448.53 and 2,832.66 is: 3,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.64 : 5,448.53 = 2,832.66 : x
  2. Step 2: Convert to fraction form
    3,953.64/5,448.53 = 2,832.66/x
  3. Step 3: Cross multiply
    3,953.64x = 5,448.53 × 2,832.66
  4. Step 4: Simplify right side
    3,953.64x = 15,433,818.83
  5. Step 5: Solve for x
    x = 15,433,818.83/3,953.64
  6. Step 6: Final answer
    x = 3,903.70

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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.