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Finding the Fourth Proportional to 5,405.94, 8,109.08 and 1,708.20

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Solution

The fourth proportional to 5,405.94, 8,109.08 and 1,708.20 is: 2,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.94 : 8,109.08 = 1,708.20 : x
  2. Step 2: Convert to fraction form
    5,405.94/8,109.08 = 1,708.20/x
  3. Step 3: Cross multiply
    5,405.94x = 8,109.08 × 1,708.20
  4. Step 4: Simplify right side
    5,405.94x = 13,851,930.46
  5. Step 5: Solve for x
    x = 13,851,930.46/5,405.94
  6. Step 6: Final answer
    x = 2,562.35

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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.