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Finding the Fourth Proportional to 5,347.25, 8,021.08 and 1,649.51

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Solution

The fourth proportional to 5,347.25, 8,021.08 and 1,649.51 is: 2,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.25 : 8,021.08 = 1,649.51 : x
  2. Step 2: Convert to fraction form
    5,347.25/8,021.08 = 1,649.51/x
  3. Step 3: Cross multiply
    5,347.25x = 8,021.08 × 1,649.51
  4. Step 4: Simplify right side
    5,347.25x = 13,230,811.57
  5. Step 5: Solve for x
    x = 13,230,811.57/5,347.25
  6. Step 6: Final answer
    x = 2,474.32

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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.