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Finding the Fourth Proportional to 4,532.86, 6,798.78 and 1,412.97

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Solution

The fourth proportional to 4,532.86, 6,798.78 and 1,412.97 is: 2,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.86 : 6,798.78 = 1,412.97 : x
  2. Step 2: Convert to fraction form
    4,532.86/6,798.78 = 1,412.97/x
  3. Step 3: Cross multiply
    4,532.86x = 6,798.78 × 1,412.97
  4. Step 4: Simplify right side
    4,532.86x = 9,606,431.12
  5. Step 5: Solve for x
    x = 9,606,431.12/4,532.86
  6. Step 6: Final answer
    x = 2,119.29

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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.