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Finding the Fourth Proportional to 4,552.36, 6,281 and 2,562.80

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Solution

The fourth proportional to 4,552.36, 6,281 and 2,562.80 is: 3,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.36 : 6,281 = 2,562.80 : x
  2. Step 2: Convert to fraction form
    4,552.36/6,281 = 2,562.80/x
  3. Step 3: Cross multiply
    4,552.36x = 6,281 × 2,562.80
  4. Step 4: Simplify right side
    4,552.36x = 16,096,946.80
  5. Step 5: Solve for x
    x = 16,096,946.80/4,552.36
  6. Step 6: Final answer
    x = 3,535.96

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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.