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Finding the Fourth Proportional to 3,527.62, 5,287.70 and 1,677.36

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Solution

The fourth proportional to 3,527.62, 5,287.70 and 1,677.36 is: 2,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.62 : 5,287.70 = 1,677.36 : x
  2. Step 2: Convert to fraction form
    3,527.62/5,287.70 = 1,677.36/x
  3. Step 3: Cross multiply
    3,527.62x = 5,287.70 × 1,677.36
  4. Step 4: Simplify right side
    3,527.62x = 8,869,376.47
  5. Step 5: Solve for x
    x = 8,869,376.47/3,527.62
  6. Step 6: Final answer
    x = 2,514.27

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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.