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Finding the Fourth Proportional to 5,193.51, 7,784.51 and 2,451.75

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Solution

The fourth proportional to 5,193.51, 7,784.51 and 2,451.75 is: 3,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.51 : 7,784.51 = 2,451.75 : x
  2. Step 2: Convert to fraction form
    5,193.51/7,784.51 = 2,451.75/x
  3. Step 3: Cross multiply
    5,193.51x = 7,784.51 × 2,451.75
  4. Step 4: Simplify right side
    5,193.51x = 19,085,660.13
  5. Step 5: Solve for x
    x = 19,085,660.13/5,193.51
  6. Step 6: Final answer
    x = 3,674.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.