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Finding the Fourth Proportional to 4,170.83, 6,259.95 and 1,705.05

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Solution

The fourth proportional to 4,170.83, 6,259.95 and 1,705.05 is: 2,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.83 : 6,259.95 = 1,705.05 : x
  2. Step 2: Convert to fraction form
    4,170.83/6,259.95 = 1,705.05/x
  3. Step 3: Cross multiply
    4,170.83x = 6,259.95 × 1,705.05
  4. Step 4: Simplify right side
    4,170.83x = 10,673,527.75
  5. Step 5: Solve for x
    x = 10,673,527.75/4,170.83
  6. Step 6: Final answer
    x = 2,559.09

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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.