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Finding the Fourth Proportional to 4,516.49, 6,774.74 and 1,744.47

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Solution

The fourth proportional to 4,516.49, 6,774.74 and 1,744.47 is: 2,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.49 : 6,774.74 = 1,744.47 : x
  2. Step 2: Convert to fraction form
    4,516.49/6,774.74 = 1,744.47/x
  3. Step 3: Cross multiply
    4,516.49x = 6,774.74 × 1,744.47
  4. Step 4: Simplify right side
    4,516.49x = 11,818,328.51
  5. Step 5: Solve for x
    x = 11,818,328.51/4,516.49
  6. Step 6: Final answer
    x = 2,616.71

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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.