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Finding the Fourth Proportional to 4,290.72, 6,448.17 and 2,536.55

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Solution

The fourth proportional to 4,290.72, 6,448.17 and 2,536.55 is: 3,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.72 : 6,448.17 = 2,536.55 : x
  2. Step 2: Convert to fraction form
    4,290.72/6,448.17 = 2,536.55/x
  3. Step 3: Cross multiply
    4,290.72x = 6,448.17 × 2,536.55
  4. Step 4: Simplify right side
    4,290.72x = 16,356,097.55
  5. Step 5: Solve for x
    x = 16,356,097.55/4,290.72
  6. Step 6: Final answer
    x = 3,811.97

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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.