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Finding the Fourth Proportional to 5,604.06, 8,406.13 and 1,708.50

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Solution

The fourth proportional to 5,604.06, 8,406.13 and 1,708.50 is: 2,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.06 : 8,406.13 = 1,708.50 : x
  2. Step 2: Convert to fraction form
    5,604.06/8,406.13 = 1,708.50/x
  3. Step 3: Cross multiply
    5,604.06x = 8,406.13 × 1,708.50
  4. Step 4: Simplify right side
    5,604.06x = 14,361,873.11
  5. Step 5: Solve for x
    x = 14,361,873.11/5,604.06
  6. Step 6: Final answer
    x = 2,562.76

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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.