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Finding the Fourth Proportional to 3,477.68, 5,218.36 and 1,531.24

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Solution

The fourth proportional to 3,477.68, 5,218.36 and 1,531.24 is: 2,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.68 : 5,218.36 = 1,531.24 : x
  2. Step 2: Convert to fraction form
    3,477.68/5,218.36 = 1,531.24/x
  3. Step 3: Cross multiply
    3,477.68x = 5,218.36 × 1,531.24
  4. Step 4: Simplify right side
    3,477.68x = 7,990,561.57
  5. Step 5: Solve for x
    x = 7,990,561.57/3,477.68
  6. Step 6: Final answer
    x = 2,297.67

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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.