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Finding the Fourth Proportional to 3,697.82, 5,506.48 and 3,656.92

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Solution

The fourth proportional to 3,697.82, 5,506.48 and 3,656.92 is: 5,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.82 : 5,506.48 = 3,656.92 : x
  2. Step 2: Convert to fraction form
    3,697.82/5,506.48 = 3,656.92/x
  3. Step 3: Cross multiply
    3,697.82x = 5,506.48 × 3,656.92
  4. Step 4: Simplify right side
    3,697.82x = 20,136,756.84
  5. Step 5: Solve for x
    x = 20,136,756.84/3,697.82
  6. Step 6: Final answer
    x = 5,445.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.