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Finding the Fourth Proportional to 4,532.57, 6,799.49 and 1,412.81

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Solution

The fourth proportional to 4,532.57, 6,799.49 and 1,412.81 is: 2,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.57 : 6,799.49 = 1,412.81 : x
  2. Step 2: Convert to fraction form
    4,532.57/6,799.49 = 1,412.81/x
  3. Step 3: Cross multiply
    4,532.57x = 6,799.49 × 1,412.81
  4. Step 4: Simplify right side
    4,532.57x = 9,606,387.47
  5. Step 5: Solve for x
    x = 9,606,387.47/4,532.57
  6. Step 6: Final answer
    x = 2,119.41

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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.