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Finding the Fourth Proportional to 3,289.12, 4,934.64 and 1,555.36

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Solution

The fourth proportional to 3,289.12, 4,934.64 and 1,555.36 is: 2,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.12 : 4,934.64 = 1,555.36 : x
  2. Step 2: Convert to fraction form
    3,289.12/4,934.64 = 1,555.36/x
  3. Step 3: Cross multiply
    3,289.12x = 4,934.64 × 1,555.36
  4. Step 4: Simplify right side
    3,289.12x = 7,675,141.67
  5. Step 5: Solve for x
    x = 7,675,141.67/3,289.12
  6. Step 6: Final answer
    x = 2,333.49

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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.