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Finding the Fourth Proportional to 3,662.89, 5,055.53 and 2,864.63

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Solution

The fourth proportional to 3,662.89, 5,055.53 and 2,864.63 is: 3,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.89 : 5,055.53 = 2,864.63 : x
  2. Step 2: Convert to fraction form
    3,662.89/5,055.53 = 2,864.63/x
  3. Step 3: Cross multiply
    3,662.89x = 5,055.53 × 2,864.63
  4. Step 4: Simplify right side
    3,662.89x = 14,482,221.22
  5. Step 5: Solve for x
    x = 14,482,221.22/3,662.89
  6. Step 6: Final answer
    x = 3,953.77

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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.