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Finding the Fourth Proportional to 3,717.63, 5,130.09 and 2,145.69

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Solution

The fourth proportional to 3,717.63, 5,130.09 and 2,145.69 is: 2,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.63 : 5,130.09 = 2,145.69 : x
  2. Step 2: Convert to fraction form
    3,717.63/5,130.09 = 2,145.69/x
  3. Step 3: Cross multiply
    3,717.63x = 5,130.09 × 2,145.69
  4. Step 4: Simplify right side
    3,717.63x = 11,007,582.81
  5. Step 5: Solve for x
    x = 11,007,582.81/3,717.63
  6. Step 6: Final answer
    x = 2,960.91

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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.