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Finding the Fourth Proportional to 3,708.64, 5,118.96 and 3,652.48

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Solution

The fourth proportional to 3,708.64, 5,118.96 and 3,652.48 is: 5,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.64 : 5,118.96 = 3,652.48 : x
  2. Step 2: Convert to fraction form
    3,708.64/5,118.96 = 3,652.48/x
  3. Step 3: Cross multiply
    3,708.64x = 5,118.96 × 3,652.48
  4. Step 4: Simplify right side
    3,708.64x = 18,696,899.02
  5. Step 5: Solve for x
    x = 18,696,899.02/3,708.64
  6. Step 6: Final answer
    x = 5,041.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.