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Finding the Fourth Proportional to 4,304.80, 6,458.08 and 2,456.80

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Solution

The fourth proportional to 4,304.80, 6,458.08 and 2,456.80 is: 3,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.80 : 6,458.08 = 2,456.80 : x
  2. Step 2: Convert to fraction form
    4,304.80/6,458.08 = 2,456.80/x
  3. Step 3: Cross multiply
    4,304.80x = 6,458.08 × 2,456.80
  4. Step 4: Simplify right side
    4,304.80x = 15,866,210.94
  5. Step 5: Solve for x
    x = 15,866,210.94/4,304.80
  6. Step 6: Final answer
    x = 3,685.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.