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Finding the Fourth Proportional to 5,708.96, 8,562.48 and 1,604

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Solution

The fourth proportional to 5,708.96, 8,562.48 and 1,604 is: 2,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.96 : 8,562.48 = 1,604 : x
  2. Step 2: Convert to fraction form
    5,708.96/8,562.48 = 1,604/x
  3. Step 3: Cross multiply
    5,708.96x = 8,562.48 × 1,604
  4. Step 4: Simplify right side
    5,708.96x = 13,734,217.92
  5. Step 5: Solve for x
    x = 13,734,217.92/5,708.96
  6. Step 6: Final answer
    x = 2,405.73

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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.