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Finding the Fourth Proportional to 3,210.12, 4,816 and 901.62

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Solution

The fourth proportional to 3,210.12, 4,816 and 901.62 is: 1,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.12 : 4,816 = 901.62 : x
  2. Step 2: Convert to fraction form
    3,210.12/4,816 = 901.62/x
  3. Step 3: Cross multiply
    3,210.12x = 4,816 × 901.62
  4. Step 4: Simplify right side
    3,210.12x = 4,342,201.92
  5. Step 5: Solve for x
    x = 4,342,201.92/3,210.12
  6. Step 6: Final answer
    x = 1,352.66

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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.