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Finding the Fourth Proportional to 3,708.65, 5,117.97 and 2,030.09

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Solution

The fourth proportional to 3,708.65, 5,117.97 and 2,030.09 is: 2,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.65 : 5,117.97 = 2,030.09 : x
  2. Step 2: Convert to fraction form
    3,708.65/5,117.97 = 2,030.09/x
  3. Step 3: Cross multiply
    3,708.65x = 5,117.97 × 2,030.09
  4. Step 4: Simplify right side
    3,708.65x = 10,389,914.13
  5. Step 5: Solve for x
    x = 10,389,914.13/3,708.65
  6. Step 6: Final answer
    x = 2,801.54

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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.