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Finding the Fourth Proportional to 4,638.86, 6,402.07 and 2,649.71

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Solution

The fourth proportional to 4,638.86, 6,402.07 and 2,649.71 is: 3,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.86 : 6,402.07 = 2,649.71 : x
  2. Step 2: Convert to fraction form
    4,638.86/6,402.07 = 2,649.71/x
  3. Step 3: Cross multiply
    4,638.86x = 6,402.07 × 2,649.71
  4. Step 4: Simplify right side
    4,638.86x = 16,963,628.90
  5. Step 5: Solve for x
    x = 16,963,628.90/4,638.86
  6. Step 6: Final answer
    x = 3,656.85

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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.