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Finding the Fourth Proportional to 3,663.51, 5,482.30 and 3,231.51

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Solution

The fourth proportional to 3,663.51, 5,482.30 and 3,231.51 is: 4,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.51 : 5,482.30 = 3,231.51 : x
  2. Step 2: Convert to fraction form
    3,663.51/5,482.30 = 3,231.51/x
  3. Step 3: Cross multiply
    3,663.51x = 5,482.30 × 3,231.51
  4. Step 4: Simplify right side
    3,663.51x = 17,716,063.70
  5. Step 5: Solve for x
    x = 17,716,063.70/3,663.51
  6. Step 6: Final answer
    x = 4,835.82

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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.