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Finding the Fourth Proportional to 3,731.99, 5,598.12 and 1,233.24

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Solution

The fourth proportional to 3,731.99, 5,598.12 and 1,233.24 is: 1,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.99 : 5,598.12 = 1,233.24 : x
  2. Step 2: Convert to fraction form
    3,731.99/5,598.12 = 1,233.24/x
  3. Step 3: Cross multiply
    3,731.99x = 5,598.12 × 1,233.24
  4. Step 4: Simplify right side
    3,731.99x = 6,903,825.51
  5. Step 5: Solve for x
    x = 6,903,825.51/3,731.99
  6. Step 6: Final answer
    x = 1,849.90

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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.