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Finding the Fourth Proportional to 3,708.53, 5,117.64 and 2,029.94

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Solution

The fourth proportional to 3,708.53, 5,117.64 and 2,029.94 is: 2,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.53 : 5,117.64 = 2,029.94 : x
  2. Step 2: Convert to fraction form
    3,708.53/5,117.64 = 2,029.94/x
  3. Step 3: Cross multiply
    3,708.53x = 5,117.64 × 2,029.94
  4. Step 4: Simplify right side
    3,708.53x = 10,388,502.14
  5. Step 5: Solve for x
    x = 10,388,502.14/3,708.53
  6. Step 6: Final answer
    x = 2,801.25

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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.