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Finding the Fourth Proportional to 5,405.68, 8,110.02 and 1,707.82

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Solution

The fourth proportional to 5,405.68, 8,110.02 and 1,707.82 is: 2,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.68 : 8,110.02 = 1,707.82 : x
  2. Step 2: Convert to fraction form
    5,405.68/8,110.02 = 1,707.82/x
  3. Step 3: Cross multiply
    5,405.68x = 8,110.02 × 1,707.82
  4. Step 4: Simplify right side
    5,405.68x = 13,850,454.36
  5. Step 5: Solve for x
    x = 13,850,454.36/5,405.68
  6. Step 6: Final answer
    x = 2,562.20

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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.