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Finding the Fourth Proportional to 6,270.32, 8,649.24 and 4,145.84

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Solution

The fourth proportional to 6,270.32, 8,649.24 and 4,145.84 is: 5,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.32 : 8,649.24 = 4,145.84 : x
  2. Step 2: Convert to fraction form
    6,270.32/8,649.24 = 4,145.84/x
  3. Step 3: Cross multiply
    6,270.32x = 8,649.24 × 4,145.84
  4. Step 4: Simplify right side
    6,270.32x = 35,858,365.16
  5. Step 5: Solve for x
    x = 35,858,365.16/6,270.32
  6. Step 6: Final answer
    x = 5,718.75

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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.