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Finding the Fourth Proportional to 4,536.93, 6,261.13 and 2,649.72

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Solution

The fourth proportional to 4,536.93, 6,261.13 and 2,649.72 is: 3,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.93 : 6,261.13 = 2,649.72 : x
  2. Step 2: Convert to fraction form
    4,536.93/6,261.13 = 2,649.72/x
  3. Step 3: Cross multiply
    4,536.93x = 6,261.13 × 2,649.72
  4. Step 4: Simplify right side
    4,536.93x = 16,590,241.38
  5. Step 5: Solve for x
    x = 16,590,241.38/4,536.93
  6. Step 6: Final answer
    x = 3,656.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.