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Finding the Fourth Proportional to 3,610.64, 5,418.40 and 1,762.64

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Solution

The fourth proportional to 3,610.64, 5,418.40 and 1,762.64 is: 2,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.64 : 5,418.40 = 1,762.64 : x
  2. Step 2: Convert to fraction form
    3,610.64/5,418.40 = 1,762.64/x
  3. Step 3: Cross multiply
    3,610.64x = 5,418.40 × 1,762.64
  4. Step 4: Simplify right side
    3,610.64x = 9,550,688.58
  5. Step 5: Solve for x
    x = 9,550,688.58/3,610.64
  6. Step 6: Final answer
    x = 2,645.15

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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.