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Finding the Fourth Proportional to 5,405.80, 8,108.70 and 1,708.32

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Solution

The fourth proportional to 5,405.80, 8,108.70 and 1,708.32 is: 2,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.80 : 8,108.70 = 1,708.32 : x
  2. Step 2: Convert to fraction form
    5,405.80/8,108.70 = 1,708.32/x
  3. Step 3: Cross multiply
    5,405.80x = 8,108.70 × 1,708.32
  4. Step 4: Simplify right side
    5,405.80x = 13,852,254.38
  5. Step 5: Solve for x
    x = 13,852,254.38/5,405.80
  6. Step 6: Final answer
    x = 2,562.48

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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.