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Finding the Fourth Proportional to 5,536.32, 8,301.60 and 3,480

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Solution

The fourth proportional to 5,536.32, 8,301.60 and 3,480 is: 5,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.32 : 8,301.60 = 3,480 : x
  2. Step 2: Convert to fraction form
    5,536.32/8,301.60 = 3,480/x
  3. Step 3: Cross multiply
    5,536.32x = 8,301.60 × 3,480
  4. Step 4: Simplify right side
    5,536.32x = 28,889,568
  5. Step 5: Solve for x
    x = 28,889,568/5,536.32
  6. Step 6: Final answer
    x = 5,218.19

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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.