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Finding the Fourth Proportional to 3,471.93, 5,209.65 and 2,655.45

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Solution

The fourth proportional to 3,471.93, 5,209.65 and 2,655.45 is: 3,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.93 : 5,209.65 = 2,655.45 : x
  2. Step 2: Convert to fraction form
    3,471.93/5,209.65 = 2,655.45/x
  3. Step 3: Cross multiply
    3,471.93x = 5,209.65 × 2,655.45
  4. Step 4: Simplify right side
    3,471.93x = 13,833,965.09
  5. Step 5: Solve for x
    x = 13,833,965.09/3,471.93
  6. Step 6: Final answer
    x = 3,984.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.