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Finding the Fourth Proportional to 3,646.10, 5,473.48 and 3,497.56

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Solution

The fourth proportional to 3,646.10, 5,473.48 and 3,497.56 is: 5,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.10 : 5,473.48 = 3,497.56 : x
  2. Step 2: Convert to fraction form
    3,646.10/5,473.48 = 3,497.56/x
  3. Step 3: Cross multiply
    3,646.10x = 5,473.48 × 3,497.56
  4. Step 4: Simplify right side
    3,646.10x = 19,143,824.71
  5. Step 5: Solve for x
    x = 19,143,824.71/3,646.10
  6. Step 6: Final answer
    x = 5,250.49

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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.