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Finding the Fourth Proportional to 3,697.44, 5,538.08 and 2,869.28

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Solution

The fourth proportional to 3,697.44, 5,538.08 and 2,869.28 is: 4,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.44 : 5,538.08 = 2,869.28 : x
  2. Step 2: Convert to fraction form
    3,697.44/5,538.08 = 2,869.28/x
  3. Step 3: Cross multiply
    3,697.44x = 5,538.08 × 2,869.28
  4. Step 4: Simplify right side
    3,697.44x = 15,890,302.18
  5. Step 5: Solve for x
    x = 15,890,302.18/3,697.44
  6. Step 6: Final answer
    x = 4,297.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.