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Finding the Fourth Proportional to 5,406.74, 8,111.02 and 1,708.10

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Solution

The fourth proportional to 5,406.74, 8,111.02 and 1,708.10 is: 2,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.74 : 8,111.02 = 1,708.10 : x
  2. Step 2: Convert to fraction form
    5,406.74/8,111.02 = 1,708.10/x
  3. Step 3: Cross multiply
    5,406.74x = 8,111.02 × 1,708.10
  4. Step 4: Simplify right side
    5,406.74x = 13,854,433.26
  5. Step 5: Solve for x
    x = 13,854,433.26/5,406.74
  6. Step 6: Final answer
    x = 2,562.44

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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.