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Finding the Fourth Proportional to 4,548, 6,769.92 and 4,335.60

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Solution

The fourth proportional to 4,548, 6,769.92 and 4,335.60 is: 6,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548 : 6,769.92 = 4,335.60 : x
  2. Step 2: Convert to fraction form
    4,548/6,769.92 = 4,335.60/x
  3. Step 3: Cross multiply
    4,548x = 6,769.92 × 4,335.60
  4. Step 4: Simplify right side
    4,548x = 29,351,665.15
  5. Step 5: Solve for x
    x = 29,351,665.15/4,548
  6. Step 6: Final answer
    x = 6,453.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.