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Finding the Fourth Proportional to 5,608.51, 8,414.07 and 1,712.91

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Solution

The fourth proportional to 5,608.51, 8,414.07 and 1,712.91 is: 2,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.51 : 8,414.07 = 1,712.91 : x
  2. Step 2: Convert to fraction form
    5,608.51/8,414.07 = 1,712.91/x
  3. Step 3: Cross multiply
    5,608.51x = 8,414.07 × 1,712.91
  4. Step 4: Simplify right side
    5,608.51x = 14,412,544.64
  5. Step 5: Solve for x
    x = 14,412,544.64/5,608.51
  6. Step 6: Final answer
    x = 2,569.76

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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.