Home / 3,470.32-5,205.48-1,162

Finding the Fourth Proportional to 3,470.32, 5,205.48 and 1,162

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Solution

The fourth proportional to 3,470.32, 5,205.48 and 1,162 is: 1,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.32 : 5,205.48 = 1,162 : x
  2. Step 2: Convert to fraction form
    3,470.32/5,205.48 = 1,162/x
  3. Step 3: Cross multiply
    3,470.32x = 5,205.48 × 1,162
  4. Step 4: Simplify right side
    3,470.32x = 6,048,767.76
  5. Step 5: Solve for x
    x = 6,048,767.76/3,470.32
  6. Step 6: Final answer
    x = 1,743.00

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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.