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Finding the Fourth Proportional to 6,270.46, 8,649.12 and 4,028.80

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Solution

The fourth proportional to 6,270.46, 8,649.12 and 4,028.80 is: 5,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.46 : 8,649.12 = 4,028.80 : x
  2. Step 2: Convert to fraction form
    6,270.46/8,649.12 = 4,028.80/x
  3. Step 3: Cross multiply
    6,270.46x = 8,649.12 × 4,028.80
  4. Step 4: Simplify right side
    6,270.46x = 34,845,574.66
  5. Step 5: Solve for x
    x = 34,845,574.66/6,270.46
  6. Step 6: Final answer
    x = 5,557.10

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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.