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Finding the Fourth Proportional to 3,717.66, 5,130.24 and 2,039.06

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Solution

The fourth proportional to 3,717.66, 5,130.24 and 2,039.06 is: 2,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.66 : 5,130.24 = 2,039.06 : x
  2. Step 2: Convert to fraction form
    3,717.66/5,130.24 = 2,039.06/x
  3. Step 3: Cross multiply
    3,717.66x = 5,130.24 × 2,039.06
  4. Step 4: Simplify right side
    3,717.66x = 10,460,867.17
  5. Step 5: Solve for x
    x = 10,460,867.17/3,717.66
  6. Step 6: Final answer
    x = 2,813.83

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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.