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Finding the Fourth Proportional to 6,263.86, 8,649.91 and 4,029.60

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Solution

The fourth proportional to 6,263.86, 8,649.91 and 4,029.60 is: 5,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.86 : 8,649.91 = 4,029.60 : x
  2. Step 2: Convert to fraction form
    6,263.86/8,649.91 = 4,029.60/x
  3. Step 3: Cross multiply
    6,263.86x = 8,649.91 × 4,029.60
  4. Step 4: Simplify right side
    6,263.86x = 34,855,677.49
  5. Step 5: Solve for x
    x = 34,855,677.49/6,263.86
  6. Step 6: Final answer
    x = 5,564.57

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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.