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Finding the Fourth Proportional to 3,565.14, 4,918.50 and 2,072.80

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Solution

The fourth proportional to 3,565.14, 4,918.50 and 2,072.80 is: 2,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.14 : 4,918.50 = 2,072.80 : x
  2. Step 2: Convert to fraction form
    3,565.14/4,918.50 = 2,072.80/x
  3. Step 3: Cross multiply
    3,565.14x = 4,918.50 × 2,072.80
  4. Step 4: Simplify right side
    3,565.14x = 10,195,066.80
  5. Step 5: Solve for x
    x = 10,195,066.80/3,565.14
  6. Step 6: Final answer
    x = 2,859.65

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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.