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Finding the Fourth Proportional to 5,405.80, 8,110.30 and 1,707.88

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Solution

The fourth proportional to 5,405.80, 8,110.30 and 1,707.88 is: 2,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.80 : 8,110.30 = 1,707.88 : x
  2. Step 2: Convert to fraction form
    5,405.80/8,110.30 = 1,707.88/x
  3. Step 3: Cross multiply
    5,405.80x = 8,110.30 × 1,707.88
  4. Step 4: Simplify right side
    5,405.80x = 13,851,419.16
  5. Step 5: Solve for x
    x = 13,851,419.16/5,405.80
  6. Step 6: Final answer
    x = 2,562.33

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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.