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Finding the Fourth Proportional to 5,638.63, 7,778.70 and 3,649.85

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Solution

The fourth proportional to 5,638.63, 7,778.70 and 3,649.85 is: 5,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.63 : 7,778.70 = 3,649.85 : x
  2. Step 2: Convert to fraction form
    5,638.63/7,778.70 = 3,649.85/x
  3. Step 3: Cross multiply
    5,638.63x = 7,778.70 × 3,649.85
  4. Step 4: Simplify right side
    5,638.63x = 28,391,088.20
  5. Step 5: Solve for x
    x = 28,391,088.20/5,638.63
  6. Step 6: Final answer
    x = 5,035.10

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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.