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Finding the Fourth Proportional to 3,507.30, 5,259.74 and 1,659.29

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Solution

The fourth proportional to 3,507.30, 5,259.74 and 1,659.29 is: 2,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.30 : 5,259.74 = 1,659.29 : x
  2. Step 2: Convert to fraction form
    3,507.30/5,259.74 = 1,659.29/x
  3. Step 3: Cross multiply
    3,507.30x = 5,259.74 × 1,659.29
  4. Step 4: Simplify right side
    3,507.30x = 8,727,399.39
  5. Step 5: Solve for x
    x = 8,727,399.39/3,507.30
  6. Step 6: Final answer
    x = 2,488.35

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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.