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Finding the Fourth Proportional to 5,206.77, 7,813.53 and 2,740.86

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Solution

The fourth proportional to 5,206.77, 7,813.53 and 2,740.86 is: 4,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.77 : 7,813.53 = 2,740.86 : x
  2. Step 2: Convert to fraction form
    5,206.77/7,813.53 = 2,740.86/x
  3. Step 3: Cross multiply
    5,206.77x = 7,813.53 × 2,740.86
  4. Step 4: Simplify right side
    5,206.77x = 21,415,791.84
  5. Step 5: Solve for x
    x = 21,415,791.84/5,206.77
  6. Step 6: Final answer
    x = 4,113.07

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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.