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Finding the Fourth Proportional to 3,438.96, 5,153.58 and 1,708.80

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Solution

The fourth proportional to 3,438.96, 5,153.58 and 1,708.80 is: 2,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.96 : 5,153.58 = 1,708.80 : x
  2. Step 2: Convert to fraction form
    3,438.96/5,153.58 = 1,708.80/x
  3. Step 3: Cross multiply
    3,438.96x = 5,153.58 × 1,708.80
  4. Step 4: Simplify right side
    3,438.96x = 8,806,437.50
  5. Step 5: Solve for x
    x = 8,806,437.50/3,438.96
  6. Step 6: Final answer
    x = 2,560.79

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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.