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Finding the Fourth Proportional to 6,270.48, 8,644.80 and 5,204.16

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Solution

The fourth proportional to 6,270.48, 8,644.80 and 5,204.16 is: 7,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.48 : 8,644.80 = 5,204.16 : x
  2. Step 2: Convert to fraction form
    6,270.48/8,644.80 = 5,204.16/x
  3. Step 3: Cross multiply
    6,270.48x = 8,644.80 × 5,204.16
  4. Step 4: Simplify right side
    6,270.48x = 44,988,922.37
  5. Step 5: Solve for x
    x = 44,988,922.37/6,270.48
  6. Step 6: Final answer
    x = 7,174.72

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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.