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Finding the Fourth Proportional to 3,106.50, 4,287.05 and 1,709.25

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Solution

The fourth proportional to 3,106.50, 4,287.05 and 1,709.25 is: 2,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.50 : 4,287.05 = 1,709.25 : x
  2. Step 2: Convert to fraction form
    3,106.50/4,287.05 = 1,709.25/x
  3. Step 3: Cross multiply
    3,106.50x = 4,287.05 × 1,709.25
  4. Step 4: Simplify right side
    3,106.50x = 7,327,631.67
  5. Step 5: Solve for x
    x = 7,327,631.67/3,106.50
  6. Step 6: Final answer
    x = 2,358.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.