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Finding the Fourth Proportional to 5,608, 8,411.97 and 1,712.35

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Solution

The fourth proportional to 5,608, 8,411.97 and 1,712.35 is: 2,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608 : 8,411.97 = 1,712.35 : x
  2. Step 2: Convert to fraction form
    5,608/8,411.97 = 1,712.35/x
  3. Step 3: Cross multiply
    5,608x = 8,411.97 × 1,712.35
  4. Step 4: Simplify right side
    5,608x = 14,404,236.83
  5. Step 5: Solve for x
    x = 14,404,236.83/5,608
  6. Step 6: Final answer
    x = 2,568.52

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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.