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Finding the Fourth Proportional to 3,488.84, 5,230.83 and 1,296.98

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Solution

The fourth proportional to 3,488.84, 5,230.83 and 1,296.98 is: 1,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.84 : 5,230.83 = 1,296.98 : x
  2. Step 2: Convert to fraction form
    3,488.84/5,230.83 = 1,296.98/x
  3. Step 3: Cross multiply
    3,488.84x = 5,230.83 × 1,296.98
  4. Step 4: Simplify right side
    3,488.84x = 6,784,281.89
  5. Step 5: Solve for x
    x = 6,784,281.89/3,488.84
  6. Step 6: Final answer
    x = 1,944.57

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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.