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Finding the Fourth Proportional to 3,507.94, 5,262 and 1,659.92

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Solution

The fourth proportional to 3,507.94, 5,262 and 1,659.92 is: 2,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.94 : 5,262 = 1,659.92 : x
  2. Step 2: Convert to fraction form
    3,507.94/5,262 = 1,659.92/x
  3. Step 3: Cross multiply
    3,507.94x = 5,262 × 1,659.92
  4. Step 4: Simplify right side
    3,507.94x = 8,734,499.04
  5. Step 5: Solve for x
    x = 8,734,499.04/3,507.94
  6. Step 6: Final answer
    x = 2,489.92

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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.