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Finding the Fourth Proportional to 3,631.39, 5,447.10 and 998.93

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Solution

The fourth proportional to 3,631.39, 5,447.10 and 998.93 is: 1,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.39 : 5,447.10 = 998.93 : x
  2. Step 2: Convert to fraction form
    3,631.39/5,447.10 = 998.93/x
  3. Step 3: Cross multiply
    3,631.39x = 5,447.10 × 998.93
  4. Step 4: Simplify right side
    3,631.39x = 5,441,266.61
  5. Step 5: Solve for x
    x = 5,441,266.61/3,631.39
  6. Step 6: Final answer
    x = 1,498.40

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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.