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Finding the Fourth Proportional to 4,127.64, 5,696.10 and 2,555.88

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Solution

The fourth proportional to 4,127.64, 5,696.10 and 2,555.88 is: 3,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.64 : 5,696.10 = 2,555.88 : x
  2. Step 2: Convert to fraction form
    4,127.64/5,696.10 = 2,555.88/x
  3. Step 3: Cross multiply
    4,127.64x = 5,696.10 × 2,555.88
  4. Step 4: Simplify right side
    4,127.64x = 14,558,548.07
  5. Step 5: Solve for x
    x = 14,558,548.07/4,127.64
  6. Step 6: Final answer
    x = 3,527.09

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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.