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Finding the Fourth Proportional to 4,536.63, 6,256.71 and 3,401.82

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Solution

The fourth proportional to 4,536.63, 6,256.71 and 3,401.82 is: 4,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.63 : 6,256.71 = 3,401.82 : x
  2. Step 2: Convert to fraction form
    4,536.63/6,256.71 = 3,401.82/x
  3. Step 3: Cross multiply
    4,536.63x = 6,256.71 × 3,401.82
  4. Step 4: Simplify right side
    4,536.63x = 21,284,201.21
  5. Step 5: Solve for x
    x = 21,284,201.21/4,536.63
  6. Step 6: Final answer
    x = 4,691.63

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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.