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Finding the Fourth Proportional to 6,435.52, 8,882.16 and 4,672.25

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Solution

The fourth proportional to 6,435.52, 8,882.16 and 4,672.25 is: 6,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.52 : 8,882.16 = 4,672.25 : x
  2. Step 2: Convert to fraction form
    6,435.52/8,882.16 = 4,672.25/x
  3. Step 3: Cross multiply
    6,435.52x = 8,882.16 × 4,672.25
  4. Step 4: Simplify right side
    6,435.52x = 41,499,644.41
  5. Step 5: Solve for x
    x = 41,499,644.41/6,435.52
  6. Step 6: Final answer
    x = 6,448.53

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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.