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Finding the Fourth Proportional to 5,405.84, 8,108.56 and 1,708.30

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Solution

The fourth proportional to 5,405.84, 8,108.56 and 1,708.30 is: 2,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.84 : 8,108.56 = 1,708.30 : x
  2. Step 2: Convert to fraction form
    5,405.84/8,108.56 = 1,708.30/x
  3. Step 3: Cross multiply
    5,405.84x = 8,108.56 × 1,708.30
  4. Step 4: Simplify right side
    5,405.84x = 13,851,853.05
  5. Step 5: Solve for x
    x = 13,851,853.05/5,405.84
  6. Step 6: Final answer
    x = 2,562.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.