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Finding the Fourth Proportional to 5,406.56, 8,109.92 and 1,708.72

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Solution

The fourth proportional to 5,406.56, 8,109.92 and 1,708.72 is: 2,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.56 : 8,109.92 = 1,708.72 : x
  2. Step 2: Convert to fraction form
    5,406.56/8,109.92 = 1,708.72/x
  3. Step 3: Cross multiply
    5,406.56x = 8,109.92 × 1,708.72
  4. Step 4: Simplify right side
    5,406.56x = 13,857,582.50
  5. Step 5: Solve for x
    x = 13,857,582.50/5,406.56
  6. Step 6: Final answer
    x = 2,563.11

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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.