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Finding the Fourth Proportional to 3,717.71, 5,130.51 and 2,039.02

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Solution

The fourth proportional to 3,717.71, 5,130.51 and 2,039.02 is: 2,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.71 : 5,130.51 = 2,039.02 : x
  2. Step 2: Convert to fraction form
    3,717.71/5,130.51 = 2,039.02/x
  3. Step 3: Cross multiply
    3,717.71x = 5,130.51 × 2,039.02
  4. Step 4: Simplify right side
    3,717.71x = 10,461,199.67
  5. Step 5: Solve for x
    x = 10,461,199.67/3,717.71
  6. Step 6: Final answer
    x = 2,813.88

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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.