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Finding the Fourth Proportional to 6,285.54, 8,671.56 and 3,632.46

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Solution

The fourth proportional to 6,285.54, 8,671.56 and 3,632.46 is: 5,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.54 : 8,671.56 = 3,632.46 : x
  2. Step 2: Convert to fraction form
    6,285.54/8,671.56 = 3,632.46/x
  3. Step 3: Cross multiply
    6,285.54x = 8,671.56 × 3,632.46
  4. Step 4: Simplify right side
    6,285.54x = 31,499,094.84
  5. Step 5: Solve for x
    x = 31,499,094.84/6,285.54
  6. Step 6: Final answer
    x = 5,011.36

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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.