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Finding the Fourth Proportional to 3,296.53, 4,944.85 and 988.03

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Solution

The fourth proportional to 3,296.53, 4,944.85 and 988.03 is: 1,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.53 : 4,944.85 = 988.03 : x
  2. Step 2: Convert to fraction form
    3,296.53/4,944.85 = 988.03/x
  3. Step 3: Cross multiply
    3,296.53x = 4,944.85 × 988.03
  4. Step 4: Simplify right side
    3,296.53x = 4,885,663.86
  5. Step 5: Solve for x
    x = 4,885,663.86/3,296.53
  6. Step 6: Final answer
    x = 1,482.06

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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.